Mathematical Research Letters

Volume 9 (2002)

Number 3

Three-manifolds admitting metrics with the same geodesics

Pages: 267 – 276

DOI: https://dx.doi.org/10.4310/MRL.2002.v9.n3.a4

Author

Vladimir S. Matveev (Universität Freiburg)

Abstract

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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Published 1 January 2002