====== Research ======



































===== 21st century PAPERS =====

  * {{rcsm-d-18-00068-revised.pdf|}}** Geometry of extended Bianchi-Cartan-Vranceanu spaces**, Angel Ferrández, Antonio M. Naveira and Ana D. Tarrío-Tobar, __Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas (RACSAM) 113(2) (2019), 1515–1532__, DOI: 10.1007/s13398-018-0565-1. 

  * {{jgp6361revised3-mio.pdf|}}** Dynamics of charges and solitons**, Manuel Barros, Angel Ferrández and Oscar J. Garay, __J. Geom. Phys. 125(2018), 12-22__, DOI: 10.1016/j.geomphys.2017.12.003.

  * {{variational_problems_on_curves_atlantis.pdf|}}** Some variational problems on curves and applications**, Angel Ferrández, __S. Haesen and L. Verstraelen (eds.), Topics in Modern Differential Geometry, Atlantis Transactions in Geometry 1, pp. 199-222. Springer 978-94-6239-239-7__. DOI.: 10.2991/978-94-6239-240-3_8, 2017.

  * {{jmaa-14-3147-r2.pdf|}} **Extremal Curves of the Total Curvature in Homogeneous three Spaces**, Manuel Barros, Angel Ferrández and Oscar J. Garay, __J. Math. Anal. Appl. 431 (2015), 342-364__.

  * {{jomb-d-13-00167-r2.pdf|}} **On the energy density of helical proteins**, Manuel Barros and Angel Ferrández, __J. Math. Biol. (2014) 69:1801-1813__.
  
  *{{equivariantwillmore_jmaa-13-644_rev1.pdf|}} **Equivariant Willmore surfaces in conformal homogeneous three spaces**, Manuel Barros, Angel Ferrández and Oscar J. Garay, __J. Math. Anal. Appl. 409 (2014), 459-477__.

  *{{addendumcqg_475885_revised.pdf|}} **Addendum to "New classical string solutions in $\bf{AdS_3}$ through null scrolls"**, Manuel Barros and Angel Ferrández, __Class. Quantum Grav. 30 (2013) 179401 (3 pp)__.

  *{{nullscrollsads3-cqg460003-revised.pdf|}} **New classical string solutions in $\bf{AdS_3}$ through null scrolls**, Manuel Barros and Angel Ferrández, __Class. Quantum Grav. 30 (2013) 115003 (19 pp)__.

  *{{stationary-jgp.pdf|}} **How big is the family of stationary null scrolls?**, Manuel Barros and Angel Ferrández, __J. Geom. Phys. 64(2013), 54-60__.

  *{{jhep05_2012_068.pdf|}} **Null scrolls as fluctuating surfaces: A new simple way to construct extrinsic string solutions**, Manuel Barros and Angel Ferrández, __J. High Energy Phys. 05(2012) 068 (19 pp)__.

  *{{barr-ferr-jphysa-2012.pdf|}} **Null scrolls as solutions of a sigma model**, Manuel Barros and Angel Ferrández,  __J. Phys. A: Math. Theor. 45 (2012), 145203 (12 pp)__.

  *{{gda-f-paper-for-ere.pdf|}} **Decoupling between torsion and magnetic fields in bouncing cosmology**, L. C. Garcia de Andrade and Angel Ferrández, TOWARDS NEW PARADIGMS: PROCEEDING OF THE SPANISH RELATIVITY MEETING 2011, AIP Conf. Proc. 1458, pp. 415-418.

  *{{epjp-2011-126-116-fulltext.pdf|}} **Decay of magnetic fields in de Sitter and FRW universes**, L. C. Garcia de Andrade and Angel Ferrández, __European Phys. J. Plus (2011), 126: 116 (6 pp)__.

  *{{floro-helices-final4.pdf|}} **Talking about helices in memory of Floro** (Spanish), Manuel Barros and Angel Ferrández, __Florentino García Santos: In Memoriam, Universidad de Granada (2011), 23-34__.

  *{{bf-csf.pdf|}} **Willmore energy estimates in conformal Berger spheres**, Manuel Barros and Angel Ferrández, __Chaos, Solitons and Fractals 44 (2011), 515-521__.

  * {{variational_problems_on_curves.pdf|}} **Variational problems on curves**, Angel Ferrández, __Topics in modern differential geometry. Simon Stevin Institute lectures 2008-2009 Series: Simon Stevin Transactions on Geometry__, Volume 1 (2010), pp. 29-46, Eds.: S. Haesen and L. Verstraelen. Published by Simon Stevin Institute for Geometry, Tilburg (The Netherlands). ISBN: 978 - 90 - 815185 - 1 - 2.

  * {{barros-ferrandez-jgp2010.pdf|}} **Epicycloids generating Hamiltonian minimal surfaces in the complex quadric**, Manuel Barros and Angel Ferrández, __J. Geom. Phys. 60 (2010), 68-73__.

  * {{barros-ferrandez-jmp2009.pdf|}} **A conformal variational approach for helices in nature**, Manuel Barros and Angel Ferrández, __J. Math. Phys. 50, 103529 (2009)__.

  * {{2007fgl_jgp.pdf|}} **Relativistic particles and the geometry of 4d null curves**, Angel Ferrández, Angel Giménez and Pascual Lucas. __J. Geom. Phys 57(10) (2007), 2124--2135__.
 
  * {{2006fgjl_jgp.pdf|}} **Particles with curvature and torsion in 3-dimensional pseudo-Riemannian space forms**, Angel Ferrández, Julio Guerrero, Miguel Angel Javaloyes and Pascual Lucas. __J. Geom. Phys 56 (2006), 1666--1687__.


  * {{2005bfjl_cqg.pdf|}} **Relativistic particles with rigidity and torsion in D=3 spacetimes**, Manuel Barros, Angel Ferrández, Miguel Angel Javaloyes and Pascual Lucas. __Class. Quantum Grav. 22 (2005), 489-513__.

 
  * {{2004fgl_horizons.pdf|}} **Relativistic particles with rigidity along light-like curves**, Angel Ferrández, Angel Giménez and Pascual Lucas. In __HORIZONS IN WORLD PHYSICS, Vol. 245, Ch. 6__, Tori V. Lynch (Editor), Nova Science Publishers Inc., 2004, ISBN:1-59454-063-2. 

  * {{2004bfjl_ijmpa.pdf|}} **Geometry of relativistic particles with torsion**, Manuel Barros, Angel Ferrández, Miguel Angel Javaloyes and Pascual Lucas. __Int. J. Mod. Phys. A Vol. 19. No 11 (2004), 1737--1745__.
 

  * {{adn.pdf|}} **Algunos aspectos matemáticos de la doble estructura helicoidal del ADN**, Angel Ferrández, María Ángeles Hernández-Cifre and José A. Pastor (Spanish). __La Gaceta de la RSME Vol. 6.3 (2003), 557--570__. 


  * {{2003fgl_jgp.pdf|}} **s-degenerate curves in Lorentzian space forms**, Angel Ferrández, Angel Giménez and Pascual Lucas. __J. Geom. Phys. 45 (2003), 116--129__.
 
  * {{2002fgl_jpa.pdf|}} **Null generalized helices in Lorentz-Minkowski spaces**, Angel Ferrández, Angel Giménez and Pascual Lucas. __J. Phys. A: Math. Gen. 35 No. 39 (2002) 8243-8251__.


  * {{2002fgl_plb.pdf|}} **Geometrical particle models on 3D null curves**, Angel Ferrández, Angel Giménez and Pascual Lucas. __Phys. Lett. B 543 (2002), 311-317__.

  * {{2001bflm_rocky.pdf|}} **General helices in the 3-dimensional Lorentzian space forms**, Manuel Barros, Angel Ferrández, Pascual Lucas and Miguel A. Meroño, __Rocky Mountain J. Math. 31 (2001), 373-388__. 


  * {{2001bfl_jgp.pdf|}} **Geometric integration of the Betchov-Da Rios equation in a Gravity-Electromagnetism unified model**, Manuel Barros, Angel Ferrández and Pascual Lucas, __J. Geom. Phys. 40 (2001), 1-12__. 


  * {{2001fgl_ijmp.pdf|}} **Null helices in Lorentzian space forms**, Angel Ferrández, Angel Giménez and Pascual Lucas, __Internat. J. Modern Phys. A 16 (2001), 4845-4863__. 


  * {{2000bflm_tams.pdf|}} **A criterion to reduce variables into the Willmore-Chen variational problem and its applications**, Manuel Barros, Angel Ferrández, Pascual Lucas and Miguel A. Meroño, __Trans. Amer. Math. Soc. 352 (2000), 3015-3027__. 


  * {{2000fl_cze.pdf|}} **On the Gauss map of B-scrolls in 3-dimensional Lorentzian space forms**, Angel Ferrández and Pascual Lucas, __Czechoslovak Math. J. 50 (2000), 699-704__. 


  * {{2000bfl_npb.pdf|}} **Conformal tension in string theories and M-theory**, Manuel Barros, Angel Ferrández and Pascual Lucas, __Nuclear Phys. B 584 (2000), 719-748__. 






===== 20th century PAPERS=====

  * {{1999bflm_hadronic.pdf|}} **Solutions of the Betchov-Da Rios soliton equation in the anti-De Sitter 3-space**, Manuel Barros, Angel Ferrández, Pascual Lucas and Miguel A. Meroño, en __'New Approaches in Nonlinear Analysis'__, ed. Th. M. Rassias, Hadronic Press Inc., Palm Harbor, Florida, pp. 51-71, 1999. 


  * {{1999bflm_jgp.pdf|}} **Solutions of the Betchov-Da Rios soliton equation: A Lorentzian approach**, Manuel Barros, Angel Ferrández, Pascual Lucas and Miguel A. Meroño, __J. Geom. Phys. 31 (1999), 217-228__. 


  * {{1999bfl_qjm.pdf|}} **Lawson-type problems in non-standard 3-spheres**, Manuel Barros, Angel Ferrández and Pascual Lucas, __Quart. J. Math. Oxford 50 (1999), 385-388__. 


  * {{1998aflm_tsukuba.pdf|}} **On the Gauss map of B-scrolls**, Luis J. Alías, Angel Ferrández, Pascual Lucas and Miguel A. Meroño, __Tsukuba J. Math. 22 (1998), 371-377__. 

  * {{diff_geom_santiago_1997.pdf|}} **Riemannian versus Lorentzian submanifolds, some open problems**, Angel Ferrández, __Proc. Workshop on Recent Topics in Differential Geometry, Santiago de Compostela, Depto. Geom. y Topología, Univ. Santiago de Compostela, 89 (1998), 109--130__.


  * {{1998flm_rocky.pdf|}} **Biharmonic Hopf cylinders**, Angel Ferrández, Pascual Lucas and Miguel A. Meroño, __Rocky Mountain J. Math. 28 (1998), 957-975__. 


  * {{1998bflm_jgp.pdf|}} **Willmore tori and Willmore-Chen submanifolds into pseudo-Riemannian spaces**, Manuel Barros, Angel Ferrández, Pascual Lucas and Miguel A. Meroño, __J. Geom. Phys. 28 (1998), 45-66__. 


  * {{1998bfl_saitama.pdf|}} **A new viewpoint on geometry of a lightlike hypersurface in a semi-Euclidean space**, Aurel Bejancu, Angel Ferrández and Pascual Lucas, __Saitama Math. J. 16 (1998), 31-38__. 

  * {{1997flm_archivii.pdf|}} **Pseudo-spherical and pseudo-hyperbolic submanifolds via the quadric representation II**, Angel Ferrández, Pascual Lucas and Miguel A. Meroño, __Archiv der Math. 69 (1997), 82--88__. 

  * {{1997flm_archivi.pdf|}} **Pseudo-spherical and pseudo-hyperbolic submanifolds via the quadric representation I**, Angel Ferrández, Pascual Lucas and Miguel A. Meroño. __Archiv der Math. 68 (1997), 520--528__. 
 
  * {{1996flm_tsukuba.pdf|}} **A quadric representation of pseudo-Riemannian products immersions**, Angel Ferrández, Pascual Lucas and Miguel A. Meroño, __Tsukuba J. Math. 20 (1996), 1--22__. 


  * {{1996flm_stpauli.pdf|}} **Biharmonic products in the normal bundle**, Angel Ferrández, Pascual Lucas and Miguel A. Meroño, __Comm. Math. Univ. St. Pauli. 45 (1996), 147--158__. 


  * {{1996flm_houston.pdf|}} **Semi-Riemannian constant mean curvature surfaces via its quadric representation**, Angel Ferrández, Pascual Lucas and Miguel A. Meroño. __Houston J. Math. 22:3(1996), 533--546__. 


  * {{1995afl_jgeom.pdf|}} **Hypersurfaces in the non-flat Lorentzian space forms with a characteristic eigenvector field**, Luis J. Alías, A. Ferrández and P. Lucas, __J. of Geom. 52 (1995), 10--24__. 


  * {{1995afl_tams.pdf|}} **Hypersurfaces in space forms satisfying the condition $\Delta x=Ax+B$**, Luis J. Alías, A. Ferrández and P. Lucas, __Trans. A.M.S. 347 (1995), 1793--1801__. 

  * {{1995bflm_cracad.pdf|}} **Hopf cylinders, $B$-scrolls and solitons of the Betchov-Da Rios equation in the 3-dimensional anti-De Sitter space**, Manuel Barros, Angel Ferrández, Pascual Lucas and Miguel A. Meroño, __C.R. Acad. Sci. Paris, 321 (1995), 505--509__. 


  * {{1994afl_tokyo.pdf|}} **2-type surfaces in $S^3 _1$ and $H^3 _1$**, Luis J. Alías, A. Ferrández and P. Lucas, __Tokyo J. Math. 17 (1994), 447--454__. 


  * {{1992fl_rivista.pdf|}} **Finite type surfaces of revolution**, A. Ferrández and P. Lucas, __Rev. Mat. Pura et aplicata, 12 (1992), 1--13__. 


  * {{1992fl_canadian.pdf|}} **Null 2-type hypersurfaces in a Lorentz space**, A. Ferrández and P. Lucas, __Canad. Math. Bull. 35 (1992), 354--360__. 


  * {{1992afl_pacific152.pdf|}} **On surfaces in the 3-dimensional Lorentz-Minkowski space**, A. Ferrández and P. Lucas, __Pacific J. Math. 152 (1992), 93--100__. 


  * {{1992afl_tokyo.pdf|}} **Classifying hypersurfaces in the Lorentz-Minkowski space with a characteristic eigenvector**, A. Ferrández and P. Lucas, __Tokyo J. Math. 15 (1992), 451--459__. 


  * {{1992afl_pacific156.pdf|}} **Surfaces in the 3-dimensional Lorentz-Minkowski space satisfying $\Delta x=Ax+B$**, Luis J. Alías, A. Ferrández and P. Lucas, __Pacific J. Math. 156 (1992), 201--208__. 

  * {{1992afl_geodedicata.pdf|}} **Submanifolds in pseudo-Euclidean spaces satisfying the condition $\Delta x=Ax+B$**, Luis J. Alías, A. Ferrández and P. Lucas, __Geom. Dedicata 42 (1992). 345--354__. 

  * {{1992afl_rassias.pdf|}} **Classifying pseudo-Riemannian hypersurfaces by means of certain characteristic differential equations**, Luis J. Alías, A. Ferrández and P. Lucas, "The Problem of Plateau: A tribute to Jesse Douglas and Tibor Radó", Ed. Th. Rassias, Worl Sci. Co., p. 53--75, 1992. 


  * {{1991fgl_archiv.pdf|}} **Finite type ruled manifolds shaped on spherical submanifolds**, A. Ferrández, O.J. Garay and P. Lucas, __Arch. der Math. 57 (1991), 97--104__.  
 
  * {{1991fgl_lnm.pdf|}} **On a certain class of conformally flat Euclidean hypersurfaces**, A. Ferrández, O.J. Garay and P. Lucas, __Lecture Notes in Math. 1481 (1991), 48--54__. 
 

  * {{1991fl_kodai.pdf|}} **Null finite type hypersurfaces in space forms**, A. Ferrández and P. Lucas, __Kodai Math. J. 14 (1991), 406--419__. 


  * {{1991bfl_umu.pdf|}} **Spherical 2-type hypersurfaces**, M. Barros, A. Ferrández and P. Lucas, __Publ. Dept. Matematicas, Univ. Murcia 1 (1991), 1--14__. 


  * {{fm_scandinavica.pdf|}} **Hermitian Natural Tensors**, A. Ferrández and V. Miquel, __Mat. Scand. 64 (1989), 233--250__.


  * {{hermitian-natural-differential-operators.pdf|}} **Hermitian Natural Differential Operators**, Francisco J. Carreras, A. Ferrández and V. Miquel, __Lecture Notes in Math. No. 1209 (1986), 109--132__. 


  * {{af_revueroumaine.pdf|}} **Nearly-Kaehler curvature operators**, A. Ferrández, __Revue Roumaine de Mat. Pures et Appl. XXIX, 3 (1984), 225--229__.


  * {{fn_czechoslovak.pdf|}} **Normal forms of the NK-operators**, A. Ferrández and A. M. Naveira, __Czechoslovak Math. J. 32 (107), (1982), 404--417__.














===== LECTURES=====

  *{{naveira_haifa_final.pdf|}} **Some geometric properties of Extended Bianchi-Cartan-Vranceanu spaces**, Angel Ferrández, Antonio M. Naveira and Ana D. Tarrío, __The 3rd International Workshop
"Geometric Structures and Interdisciplinary Applications", May 9-12, 2018, University of Haifa, Israel__, Invited talk.

  *{{naveira_ploiesti2_2017.pdf|}} **On seven dimensional Bianchi-Cartan-Vranceanu spaces**, Angel Ferrández, Antonio M. Naveira and Ana D. Tarrío, __The 13-th international workshop on differential
geometry and its applications__, Talk, September 26-28, Ploiesti, Rumania, 2017.

  *{{naveira_bedlewo_final.pdf|}} **An extension of Bianchi-Cartan-Vranceanu spaces**, Angel Ferrández, Antonio M. Naveira and Ana D. Tarrío, __Differential Geometry Conference__, Plenary talk, June 18-24, Banach Center, Bedlewo, 2017.

  *{{granadafeb2015-horiz.pdf|}} **Extremal curves of the total curvature in homogeneous $3$-spaces**, Manuel Barros, Angel Ferrández and Oscar J. Garay, __Congreso de la RSME__, Granada, February 3, 2015.

  *{{aferrandez.ixencuentroandaluz.pdf|}} **Null scrolls, a wonderful source of examples**, Manuel Barros and Angel Ferrández, __IX Andalusian Meeting on Geometry__, Jaén, May 11, 2012.

  *{{alicantemarzo2011-trans-short.pdf|}} **Principles governing helices in Nature**, Angel Ferrández, invited address, __Geometry Days, International Meeting on Differential and Convex Geometry__. Alicante 24-25 March, 2011.

  *{{cordoba_2010_af.pdf|}} **A crash course in Differential Geometry**, Angel Ferrández, invited address, __Proceedings of the International Meeting on Differential Geometry__. Córdoba 15-18 Nov., 2010, Ed. Don Folio, ISBN: 978-84-15105-91-6.

  * {{murciasanalberto2009-trans.pdf|}} **Geometry and topology to understand helices in Nature** (Spanish), Angel Ferrández, __San Alberto address 2009, University of Murcia__.

  * {{granada_junio_2008-paper-extended.pdf|}} **Some variational problems involving Lancret curves**, Angel Ferrández. __Analysis and Geometry Day, June 16, 2008, University of Granada__.

  * {{isaga2006-granada_final.pdf|}} **Geometry applied to DNA**, Angel Ferrández. __International Seminar on Applied Geometry in Andalusia, September 4-8, 2006, University of Granada__.



===== PROCEEDINGS =====

  * {{proceedingswgp2004.pdf|}}**Proceedings of the XIII Fall Workshop on Geometry and Physics**, Murcia, September 20--22, 2004. __Editores: Luis J. Alías, Angel Ferrández, Mª Angeles Hernández, Pascual Lucas and José A. Pastor__. Publ. RSME, vol. 9 (2005). ISBN: 84-933610-6-2.

  *{{geometrialorentz2003.pdf|}}**Proceedings of the II International Meeting on Lorentzian Geometry**, Murcia, November 12--14, 2003. __Editores: Luis J. Alías, Angel Ferrández, Mª Angeles Hernández, Pascual Lucas and José A. Pastor__. Publ. RSME, vol. 8 (2004). ISBN: 84-933610-5-4.


  *{{fjl_oviedo.pdf|}}**Geometry of Relativistic Particles with Torsion in 4-dimensional Spaces**, Angel Ferrández, Miguel Angel Javaloyes and Pascual Lucas. __Proc. del XI Encuentro de Otoño de Geometría y Física (Oviedo, 2002)__, Publ. RSME vol. 6 (2004), 209-214. 

 
  *{{fgil_oviedo.pdf|}}**Null generalized helices and the Betchov-Da Rios equation in Lorentz-Minkowski spaces**, Angel Ferrández, Angel Giménez and Pascual Lucas. __Proc. del XI Encuentro de Otoño de Geometría y Física (Oviedo, 2002)__, Publ. RSME vol. 6 (2004), 215-221.


  *{{fgil05.pdf|}}**Geometry of lightlike submanifolds in Lorentzian space forms**, Angel Ferrández, Angel Giménez and Pascual Lucas. __Proc. del Congreso Geometria de Lorentz. Benalmádena 2001__, Publ. RSME vol. 5 (2003), 125--140.

  *{{ferrhervella_a_tour.pdf|}}**A tour on the life and work of A. M. Naveira**, Luis M. Hervella and Angel Ferrández. Differential Geometry, Valencia 2001. __Proceedings of the International Conference held to honour the 60th Birthday of A. M. Naveira__. Valencia, July 8-14, 2001. World Scientific, ISBN: 981-02-4906-3, pages 1-18. 

  *{{fgil04.pdf|}}**Null helices and degenerate curves in Lorentzian space forms**, Angel Ferrández, Angel Giménez and Pascual Lucas. Differential Geometry, Valencia 2001. __Proceedings of the International Conference held to honour the 60th Birthday of A. M. Naveira__. Valencia, July 8-14, 2001. World Scientific, ISBN: 981-02-4906-3, pages 143-156. 


  *{{fgil03.pdf|}}**Degenerate curves in pseudo-Euclidean spaces of index 2**, Angel Ferrández, Angel Giménez and Pascual Lucas. __Geometry, Integrability and Quantization. Proc. of Third International Conference__, June 14-23, 2001. Ed. I. Mladenov & G.L. Naber. Coral Press (2002), pages 209-223, ISBN 954-90618-3-3. 


  *{{fgil01.pdf|}}**Characterization of null curves in Lorentz-Minkowski spaces**, Angel Ferrández, Angel Giménez and Pascual Lucas, __Proc. IX Fall Workshop on Geometry and Physics (2000)__, Publ. RSME, vol. 3 (2001), 221-226.


  *{{flm01.pdf|}}**Classification of certain semi-Riemannian constant mean curvature surfaces**, Angel Ferrández, Pascual Lucas and Miguel A. Meroño, __Geometry and Topology of Submanifolds, Vol. VII__, pp. 132--135, 1995, World. Sci. Co.


  *{{afl05.pdf|}}**Surfaces in Lorentzian space forms satisfying the condition $\Delta x=Ax+B$**, Luis J. Alías, A. Ferrández and P. Lucas, __Geometry and Topology of Submanifolds, Vol. VI__, pp. 3--15, 1993, World. Sci. Co.


  *{{fl02.pdf|}}**Superficies regladas de tipo finito**, A. Ferrández and P. Lucas, __Proc. XVth Portuguese-Spanish Conference on Math.__, Vol. III (1991), 167-172.