English

On the multiplicity of isometry-invariant geodesics on product manifolds

Differential Geometry 2014-10-01 v1

Abstract

We prove that on any closed Riemannian manifold (M1×M2,g)(M_1\times M_2,g), with \rank\Hom1(M1)0\rank\Hom_1(M_1)\neq0 and dim(M2)2\dim(M_2)\geq2, every isometry homotopic to the identity admits infinitely many isometry-invariant geodesics.

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Cite

@article{arxiv.1307.7404,
  title  = {On the multiplicity of isometry-invariant geodesics on product manifolds},
  author = {Marco Mazzucchelli},
  journal= {arXiv preprint arXiv:1307.7404},
  year   = {2014}
}

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17 pages