Superrigidity in infinite dimension and finite rank via harmonic maps

DOI10.4171/GGD/308zbMath1419.58006arXiv1206.1964MaRDI QIDQ2347648

Bruno Duchesne

Publication date: 5 June 2015

Published in: Groups, Geometry, and Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1206.1964

zbMATH Keywords

harmonic mapssuperrigidityinfinite dimensional symmetric spaces

Mathematics Subject Classification ID

Discrete subgroups of Lie groups (22E40) Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20) Differential geometric aspects of harmonic maps (53C43) Harmonic maps, etc. (58E20) Differential geometry of symmetric spaces (53C35)

Related Items (5)

Obstructions to nonpositive curvature for open manifolds ⋮ Infinite dimensional representations of orthogonal groups of quadratic forms with finite index ⋮ Boundary maps and maximal representations on infinite-dimensional Hermitian symmetric spaces ⋮ The Weil-Petersson curvature operator on the universal Teichmüller space ⋮ Hyperbolic spaces, principal series, and \({\text{O}}(2,\infty )\)

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