Conjugacy and rigidity for nonpositively curved manifolds of higher rank

Christopher B. Croke; Patrick Eberlein; Bruce Kleiner

doi:10.1016/0040-9383(95)00031-3

Conjugacy and rigidity for nonpositively curved manifolds of higher rank

Christopher B. Croke, Patrick Eberlein, Bruce Kleiner

Mathematics

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

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 language	English (US)
Pages (from-to)	273-286
Number of pages	14
Journal	Topology
Volume	35
Issue number	2
DOIs	https://doi.org/10.1016/0040-9383(95)00031-3
State	Published - Apr 1996

ASJC Scopus subject areas

Geometry and Topology

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title = "Conjugacy and rigidity for nonpositively curved manifolds of higher rank",

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.",

author = "Croke, {Christopher B.} and Patrick Eberlein and Bruce Kleiner",

note = "Funding Information: in part by NSF Grant DMS 90-01707. in part by NSF Grant DMS 93-03476. in part by NSF and MSRI Postdoctoral",

year = "1996",

month = apr,

doi = "10.1016/0040-9383(95)00031-3",

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T1 - Conjugacy and rigidity for nonpositively curved manifolds of higher rank

AU - Croke, Christopher B.

AU - Eberlein, Patrick

AU - Kleiner, Bruce

N1 - Funding Information: in part by NSF Grant DMS 90-01707. in part by NSF Grant DMS 93-03476. in part by NSF and MSRI Postdoctoral

PY - 1996/4

Y1 - 1996/4

N2 - 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.

AB - 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.

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U2 - 10.1016/0040-9383(95)00031-3

DO - 10.1016/0040-9383(95)00031-3

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EP - 286

JO - Topology

JF - Topology

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ER -

Conjugacy and rigidity for nonpositively curved manifolds of higher rank

Abstract

ASJC Scopus subject areas

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