Three dimensional manifolds all of whose geodesics are closed

Details Three dimensional manifolds all of whose geodesics are closed Three dimensional manifolds all of whose geodesics are closed

2009-05-22

arxiv.org/abs/0905.3760v1

Mathematics

Differential Geometry

16 pages

Scientific paper

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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