English

On fixed points and uniformly convex spaces

Group Theory 2008-05-27 v1 Metric Geometry

Abstract

The purpose of this note is to present two elementary, but useful, facts concerning actions on uniformly convex spaces. We demonstrate how each of them can be used in an alternative proof of the triviality of the first LpL_p-cohomology of higher rank simple Lie groups, proved in [BFGM].

Keywords

Cite

@article{arxiv.0805.3813,
  title  = {On fixed points and uniformly convex spaces},
  author = {tsachik gelander},
  journal= {arXiv preprint arXiv:0805.3813},
  year   = {2008}
}

Comments

2 pages

R2 v1 2026-06-21T10:43:54.468Z