On fixed points and uniformly convex spaces

Details On fixed points and uniformly convex spaces On fixed points and uniformly convex spaces

2008-05-25

arxiv.org/abs/0805.3813v1

Mathematics

Group Theory

2 pages

Scientific paper

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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