Infinite dimensional Riemannian symmetric spaces with fixed-sign curvature operator

DOI10.5802/aif.2929zbMath1329.58001arXiv1204.6012OpenAlexW2963335041WikidataQ115159014 ScholiaQ115159014MaRDI QIDQ748355

Bruno Duchesne

Publication date: 20 October 2015

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1204.6012

zbMATH Keywords

Riemannian symmetric space\(L^*\)-algebraHilbert symmetric spaceinfinite dimensional symmetric spaceorthogonal symmetric Lie algebra

Mathematics Subject Classification ID

Group actions and symmetry properties (58D19) Differential geometry of symmetric spaces (53C35) Group structures and generalizations on infinite-dimensional manifolds (58B25)

Related Items (8)

On the Lichnerovicz Laplacian ⋮ What is the Bochner technique and where is it applied ⋮ Conformal Killing \(L^2\)-forms on complete Riemannian manifolds with nonpositive curvature operator ⋮ Infinite dimensional representations of orthogonal groups of quadratic forms with finite index ⋮ Boundary maps and maximal representations on infinite-dimensional Hermitian symmetric spaces ⋮ Riemannian Hilbert Manifolds ⋮ Geometry in the large of the kernel of Lichnerowicz Laplacians and its applications ⋮ Superrigidity in infinite dimension and finite rank via harmonic maps

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