On fixed points and uniformly convex spaces

2008/05/25 by tsachik gelander, gelander, tsachik
Mathematics · #FOS: Mathematics #Group Theory (math.GR) #Metric Geometry (math.MG) #math.GR #math.MG

paper · pdf · doi:10.48550/arxiv.0805.3813

2 pages

arxiv created 2008/05/25 · arxiv updated 2009/12/01

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 L_p-cohomology of higher rank simple Lie groups, proved in [BFGM].

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