Some recent applications of the barycenter method in geometry
Differential Geometry
2007-05-23 v1 Geometric Topology
Abstract
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.
Cite
@article{arxiv.math/0204093,
title = {Some recent applications of the barycenter method in geometry},
author = {Christopher Connell and Benson Farb},
journal= {arXiv preprint arXiv:math/0204093},
year = {2007}
}