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Conjugacy rigidity for non-positively curved graph manifolds

Published online by Cambridge University Press:  04 May 2004

CHRISTOPHER B. CROKE
CHRISTOPHER B. CROKE
Affiliation:
Department of Mathematics, University of Pennsylvania, 209 S. 33rd St., Philadelphia, PA 19104-6395, USA (e-mail: [email protected])
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Abstract

We show that the metric of non-positively curved graph manifolds is determined by its geodesic flow. More precisely, we show that if the geodesic flows of two non-positively curved graph manifolds are C0 conjugate, then the spaces are isometric.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 24 , Issue 3 , June 2004 , pp. 723 - 733
Copyright
2004 Cambridge University Press

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