New Trends in Geometric Analysis
Description
On the occasion of the 15th anniversary of REAG this book aims to collect some old and new contributions of this network to Geometric Analysis. The book consists of thirteen independent chapters, all of themauthored by current members of REAG. The topics under study cover geometric flows, constant mean curvature surfaces in Riemannian and sub-Riemannian spaces, integral geometry, potential theory and Riemannian geometry, among others. Some of these chapters have been written in collaboration between members of different nodes of the network, and show the fruitfulness of the common research atmosphere provided by REAG. The rest of the chapters survey a research line or present recent progresses within a group of those forming REAG.
Surveying several research lines and offering new directions in the field, the volume is addressed to researchers (including postdocs and PhD students) in Geometric Analysis in the large.
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Persons
Vicente Palmer is a Professor of Geometry in the Department of Mathematics of Universitat Jaume I in Castellón, (Spain). He teaches mathematics in different degrees of the university and his research focuses in the study of potential analysis in Riemannian manifolds from the viewpoint of submanifold theory, and their connections with theDirichlet spectrum of Riemannian manifolds and the exit time moments of Brownian motion defined on them. In addition to these abstruse and obscure subjects, he has devoted part of his work to the slightly more mundane (apparently simpler but definitely no less shady) problems of university management, holding the post of vice-rector for economic affairs at Jaume I University for 5 years.
César Rosales is an Associate Professor at the Department of Geometry and Topology in the University of Granada. His research focuses on geometric optimization problems, mainly those related to the area functional. He has studied isoperimetric problems and minimal surfaces in metric-measure spaces by means of mathematical techniques like calculus of variations, geometric measure theory and partial differential equations. His main contributions include classification results for isoperimetric and constant mean curvature surfaces in some relevant settings, like the sub-Riemannian Heisenberg group or the Gaussian space.
