Overview
- Covers different topics and applications in geometric analysis
- Gathers scientific contributions of the Spanish Network of Geometric Analysis in the last 15 years
- Includes original research and comprenhensive surveys on related problems within geometric analysis
Part of the book series: RSME Springer Series (RSME, volume 10)
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Table of contents (13 chapters)
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Front Matter
Keywords
- Geometric Analysis
- Riemannian Geometry
- Convex Geometry
- Sub-Riemannian Geometry
- Mean Curvature Flow
- Geometric Flows
- Constant Mean Curvature Surfaces
- Geometric PDE's
- Minimal Surface
- Symmetric Space
- Potential Theory
- Variational Problems
- Submanifolds Geometry
- Finsler Geometry
- Integral Geometry
- Homogeneous Submanifolds
- Homogeneous Spaces
About this book
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.
Editors and Affiliations
About the editors
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.
Bibliographic Information
Book Title: New Trends in Geometric Analysis
Book Subtitle: Spanish Network of Geometric Analysis 2007-2021
Editors: Antonio Alarcón, Vicente Palmer, César Rosales
Series Title: RSME Springer Series
DOI: https://doi.org/10.1007/978-3-031-39916-9
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2023
Hardcover ISBN: 978-3-031-39915-2Published: 19 October 2023
Softcover ISBN: 978-3-031-39918-3Due: 19 November 2023
eBook ISBN: 978-3-031-39916-9Published: 18 October 2023
Series ISSN: 2509-8888
Series E-ISSN: 2509-8896
Edition Number: 1
Number of Pages: VIII, 393
Number of Illustrations: 8 b/w illustrations, 61 illustrations in colour