Superrigidity, Generalized Harmonic Maps and Uniformly Convex Spaces

By Tsachik Gelander, Anders Karlsson, Gregory Margulis. 2006

56 citations recorded by the source corpus.

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uniform and certain non-uniform irreducible lattices in products of locally compact groups, and we give a proof of an unpublished result on commensurability superrigidity due to G.A. Margulis.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.

Subfields: Applied Mathematics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/83509bc4190d48ad469aa6a0f6c04667ace89f4a

How researchers see this paper

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In Applied Mathematics

1. P. Caprace

In Geometry and Topology

1. P. Caprace
2. Bertrand Rémy
3. Denis V. Osin
4. Daan Krammer
5. Anthony Genevois
6. K. Fujiwara
7. Adrien Le Boudec
8. Michah Sageev

In Mathematical Physics

1. P. Caprace
2. Bertrand Rémy
3. Denis V. Osin
4. Anthony Genevois
5. K. Fujiwara
6. Michah Sageev
7. Mark F. Hagen

Citations in the corpus

• Simplicity and superrigidity of twin building lattices (2006, background): “Margulis (with suitable Busemann non-positively curved, uniformly convex target spaces [31]).”