Superrigidity, Generalized Harmonic Maps and Uniformly Convex Spaces View Full Text


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Article Info

DATE

2008-01

AUTHORS

Tsachik Gelander, Anders Karlsson, Gregory A. Margulis

ABSTRACT

We prove several superrigidity results for isometric actions on Busemann non-positively curved uniformly convex metric spaces. In particular we generalize some recent theorems of N. Monod on uniform and certain non-uniform irreducible lattices in products of locally compact groups, and we give a proof of an unpublished result on commensurability superrigidity due to G.A. Margulis. The proofs rely on certain notions of harmonic maps and the study of their existence, uniqueness, and continuity. More... »

PAGES

1524-1550

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s00039-007-0639-2

DOI

http://dx.doi.org/10.1007/s00039-007-0639-2

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1018808594


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