Some recent applications of the barycenter method in geometry

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

In this paper we describe some recent applications of the barycenter method in geometry. This method was first used by Duady-Earle and later greatly extended by Besson-Courtois-Gallot in their solution of a number of long-standing problems, in particular in their proof of entropy rigidity for closed, negatively curved locally symmetric manifolds. Since there are already a number of surveys describing this work, we will concentrate here only on advances that have occured after these surveys appeared. While most of this paper is a report on results appearing in other papers, some of the material here is new.

Keywords

Differential Geometry, Geometric Topology, 53C30; 53C12

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/63743

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0204093
 http://arxiv.org/abs/math/0204093

Collections

arXiv