Research

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.

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.

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.

proceedingswgp2004.pdfProceedings 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.pdfProceedings 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.pdfGeometry 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.pdfNull 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.pdfGeometry 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.pdfA 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.pdfNull 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.pdfDegenerate 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.pdfCharacterization 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.pdfClassification 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.pdfSurfaces 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.pdfSuperficies regladas de tipo finito, A. Ferrández and P. Lucas, Proc. XVth Portuguese-Spanish Conference on Math., Vol. III (1991), 167-172.