Affine actions of higher rank lattices
type: Item
instance of: scholarly article
title: Affine actions of higher rank lattices
zbMATH Open document ID: 0788.58010
DOI: 10.1007/BF01896261
published in: Geometric and Functional Analysis. GAFA
publication date: 1993-12-15T00:00:00Z
full work available at URL: https://eudml.org/doc/58135
review text: The paper is devoted to the actions of lattice subgroups of some higher rank semisimple Lie group \(G\) by diffeomorphisms of a compact, connected Riemannian manifold \(M\) which preserve the Levi-Civita connection of \(M\). Under the hypothesis that the dimension of \(M\) is sufficiently small, one obtains geometric informations for \(M\) and for the action from the algebraic properties of the representations of \(G\). As an application it is deduced a condition for an affine action on a vector bundle to preserve a compatible Riemannian metric.
Mathematics Subject Classification ID: 58D19
Mathematics Subject Classification ID: 22E46
Mathematics Subject Classification ID: 53C20
Mathematics Subject Classification ID: 57S25
zbMATH DE Number: 464908
zbMATH Keywords: affine actions
zbMATH Keywords: semisimple Lie groups
zbMATH Keywords: Riemannian manifold
author: Renato Feres
reviewed by: Dumitru Motreanu
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 464908