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Three-dimensional manifolds all of whose geodesics are closed

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Abstract

We present some results concerning the Morse Theory of the energy function on the free loop space of the three sphere for metrics all of whose geodesics are closed. We also explain how these results relate to the Berger conjecture in dimension three.

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Authors and Affiliations

  1. Department of Mathematics, University of Rochester, Rochester, NY, USA

    John Olsen

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  1. John Olsen
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Correspondence to John Olsen.

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Olsen, J. Three-dimensional manifolds all of whose geodesics are closed. Ann Glob Anal Geom 37, 173–184 (2010). https://doi.org/10.1007/s10455-009-9180-x

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  • DOI: https://doi.org/10.1007/s10455-009-9180-x

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