Three Dimensional Manifolds All of Whose Geodesics Are Closed
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چکیده
Three Dimensional Manifolds All of Whose Geodesics Are Closed John Olsen Wolfgang Ziller, Advisor We present some results concerning the Morse Theory of the energy function on the free loop space of S for metrics all of whose geodesics are closed. We also show how these results may be regarded as partial results on the Berger Conjecture in dimension three.
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