Conjugacy and rigidity for nonpositively curved manifolds of higher rank
type: Item
instance of: scholarly article
title: Conjugacy and rigidity for nonpositively curved manifolds of higher rank
zbMATH Open document ID: 0859.53024
DOI: 10.1016/0040-9383(95)00031-3
author: Christopher B. Croke
author: Patrick Eberlein
author: Bruce Kleiner
published in: Topology
publication date: 1996-05-14T00:00:00Z
review text: The main result of this paper concerns the rigidity of compact Riemannian manifolds \(M\) and \(N\) of nonpositive sectional curvature, dimension \(\geq 3\) and rank \(\geq 2\): if \(F:SM\to SN\) is a \(C^0\) conjugacy between the geodesic flows, then there exists an isometry \(G:M\to N\) inducing the same isomorphism between the fundamental groups as \(F\).
Mathematics Subject Classification ID: 53C20
Mathematics Subject Classification ID: 53C22
zbMATH DE Number: 878540
zbMATH Keywords: dynamic rigidity
zbMATH Keywords: geodesic flow
zbMATH Keywords: rigidity of compact Riemannian manifolds
zbMATH Keywords: nonpositive sectional curvature
reviewed by: Werner Ballmann
MaRDI profile type: Publication
full work available at URL: 0040-9383(95)00031-3
OpenAlex ID: W2001378884
description: scientific article; zbMATH DE number 878540