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Superrigidity, generalized harmonic maps and uniformly convex spaces
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).
2007 (English)In: Geometric and Functional Analysis, ISSN 1016-443X, E-ISSN 1420-8970, Vol. 17, no 5, 1524-1550 p.Article in journal (Refereed) Published
Abstract [en]

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uniform and certain non-uniform irreducible lattices in products of locally compact groups, and we give a proof of an unpublished result on commensurability superrigidity due to G.A. Margulis.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

Place, publisher, year, edition, pages
2007. Vol. 17, no 5, 1524-1550 p.
Keyword [en]
irreducible lattices
Identifiers
URN: urn:nbn:se:kth:diva-17220DOI: 10.1007/s00039-007-0639-2ISI: 000253164500004Scopus ID: 2-s2.0-39549114821OAI: oai:DiVA.org:kth-17220DiVA: diva2:335263
Note
QC 20100525Available from: 2010-08-05 Created: 2010-08-05 Last updated: 2017-12-12Bibliographically approved

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