Convex Geometry, especially, optimization problems.
Investigation group of Differential and Convex Geometry
Publications
- Gergonne; the isoperimetric problem and the Steiner's symmetrization. (preprint). University of Murcia.
- La historia del problema isoperimétrico clásico con geometría elemental. Gac. R. Soc. Mat. Esp. 15 (2012), no. 2, 335–354.
- Innovación educativa en el primer curso de la Licenciatura en
Matemáticas durante el curso 2008/2009. Capítulo 16 de "Experiencias de
innovación educativa en la Universisdad de Murcia (2009)". Editum 2011
- Relating the minimal annulus with the circumradius of a convex set. (Jointly with Mª Ángeles Hernández Cifre). J. Math. Inequal. 4-1 (2010), 133-149.
- Optimizing geometric measures for fixed minimal annulus and
inradius. (Jointly with Mª Ángeles Hernández Cifre).Rev. Mat. Iberoamericana 23 (3) (2007), 953-971.
- Some optimization problems for the minimal annulus of
a convex set. (Jointly with Mª Ángeles Hernández Cifre). Math. Ineq. Appl. 9 (2) (2006), 359-374.
- The Hahn-Banach theorem's: history, analytical and geometrical versions, and applications. The extension property. (Spanish) (based on my Master Thesis. Advisor Bernardo Cascales).
Publicaciones del Departamento de Matemáticas de la Universidad
de Murcia. Nº 43. 2003.
- Topology (Spanish). (Jointly with Pascual Lucas
Saorín). Colección Textos Guía.
DM,ICE-Universidad de Murcia. Murcia. 2002.
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Department of Mathematics