Conjugacy and rigidity for nonpositively curved manifolds of higher rank

Christopher B. Croke, Patrick Eberlein, Bruce Kleiner

Research output: Contribution to journalArticle

Abstract

Let M and N be compact Riemannian manifolds with sectional curvature K ≤ 0 such that M has dimension ≥ 3 and rank ≥ 2. If there exists a C0 conjugacy F between the geodesic flows of the unit tangent bundles of M and N, then there exists an isometry G:M → N that induces the same isomorphism as F between the fundamental groups of M and N.

Original languageEnglish (US)
Pages (from-to)273-286
Number of pages14
JournalTopology
Volume35
Issue number2
DOIs
StatePublished - Apr 1996

ASJC Scopus subject areas

  • Geometry and Topology

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