Three-dimensional manifolds all of whose geodesics are closed

Three-dimensional manifolds all of whose geodesics are closed
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所有测地线均闭合的三维流形

DOI:
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发表时间:
2009
期刊:
影响因子:
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通讯作者:
J. Olsen
J. Olsen
中科院分区:
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文献类型:
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作者:
J. Olsen

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本文给出了三球面自由圈空间上的能量函数的莫尔斯理论的一些结果。我们还解释了这些结果与Berger猜想在三维。
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.