Fixed points of isometries at infinity in homogeneous spaces
type: Item
instance of: scholarly article
title: Fixed points of isometries at infinity in homogeneous spaces
zbMATH Open document ID: 0646.53047
published in: Illinois Journal of Mathematics
publication date: 1989-01-01T00:00:00Z
review text: Let M be a simply connected homogeneous Riemannian manifold of nonpositive curvature and let G be a solvable Lie group of isometries that acts simply and transitively on M. In this paper, we describe the set of fixed points of G at infinity and we classify all isometries defined by elements of G when M has no de Rham flat factor. Some results about the points at infinity that can be joined by a geodesic to a fixed point of G are obtained.
Mathematics Subject Classification ID: 53C30
zbMATH DE Number: 4054512
zbMATH Keywords: homogeneous Riemannian manifold
zbMATH Keywords: nonpositive curvature
zbMATH Keywords: fixed points
zbMATH Keywords: isometries
zbMATH Keywords: points at infinity
zbMATH Keywords: geodesic
author: Maria J. Druetta
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4054512