Mathematical Research Letters

Volume 9, Issue 3, March 2002 pp. 267-276.

Three-manifolds admitting metrics with the same geodesics

Authors: Vladimir S. Matveev
Author institution: Universität Freiburg

Summary: If two different metrics on a closed three-manifold have the same geodesics, then the manifold is homeomorphic to a lens space or to a Seifert manifold with zero Euler number.

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