About the project

This project is the continuation of the CMC research project, funded by Plan Estatal de Investigación Científica y Técnica y de Innovación: Generación de conocimiento in the young researchers category (type A) that run from June 2019 to May 2023.

The project focuses on the study of constant mean curvature surfaces in three-dimensional homogeneous Lorentzian and Riemannian manifolds. More precisely, it concerns the construction and characterization of examples, as well as the study of local and global geometric properties, all of them related to open questions that have guided research in Surface Theory in the last decades. It is also central in this proposal to strengthen the incipient Geometric Analysis group of the University of Jaén, in connection with the Department of Geometry and Topology of the University of Granada, where there is a long and fruitful trajectory in this topic.