Conjugacy and rigidity for manifolds with a parallel vector field

Christopher B. Croke; Bruce Kleiner

doi:10.4310/jdg/1214455076

Conjugacy and rigidity for manifolds with a parallel vector field

Christopher B. Croke, Bruce Kleiner

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

The main theorem in this paper is that any compact Riemannian manifold with geodesic flow isomorphic to the geodesic flow of a local Riemannian product M = (X × R)/Γ is isometric to M.

Original language	English (US)
Pages (from-to)	659-680
Number of pages	22
Journal	Journal of Differential Geometry
Volume	39
Issue number	3
DOIs	https://doi.org/10.4310/jdg/1214455076
State	Published - May 1994

ASJC Scopus subject areas

Analysis
Algebra and Number Theory
Geometry and Topology

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title = "Conjugacy and rigidity for manifolds with a parallel vector field",

abstract = "The main theorem in this paper is that any compact Riemannian manifold with geodesic flow isomorphic to the geodesic flow of a local Riemannian product M = (X × R)/Γ is isometric to M.",

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Conjugacy and rigidity for manifolds with a parallel vector field

Abstract

ASJC Scopus subject areas

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