Olga Gil-Medrano

Olga Gil-Medrano is a Professor in the Department of Mathematics at the Universitat de València, specializing in Geometry and Topology. She has established a significant research profile in differential geometry and global analysis, with a focus on Riemannian manifolds, vector fields, and geometric functionals.

• Doctorate: Universitat de València, 1982
• Thesis: Ciertas propiedades geométricas y topológicas en algunas clases de variedades riemannianas casi-producto
• Advisor: Dr. Antonio Martínez Naveira

Her research primarily centers on differential geometry, particularly the study of unit vector fields, their volume and energy, and their minimality and harmonicity on Riemannian and Lorentzian manifolds. She has made notable contributions to the understanding of Hopf vector fields on spheres and geometric structures on spaces of metrics. Her work often involves advanced techniques from global analysis and variational calculus.

Her 15 most recent publications reveal a sustained focus on geometric optimization problems involving vector fields, especially on spheres and homogeneous spaces. Key themes include the stability of critical vector fields, energy minimization, and the interplay between volume and energy functionals. Her research spans both Riemannian and pseudo-Riemannian settings, connecting pure geometry with aspects of mathematical physics.

There is no information available about scientific awards or honors in the provided text.

Olga Gil-Medrano has collaborated extensively with mathematicians such as Peter W. Michor, Vincent Borrelli, Elisa Llinares-Fuster, and José Carmelo González Dávila. While specific details about grants or advising are not mentioned, her 34 publications and 22 joint works indicate active research collaboration. She has also contributed as an editor to conference proceedings.

She is affiliated with the Geometry and Topology research area within the Department of Mathematics at the Universitat de València. Her work contributes to the broader mathematical community through publications in journals such as Annals of Global Analysis and Geometry, Differential Geometry and its Applications, and Mathematische Annalen.