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arXiv · 1307.7404

On the multiplicity of isometry-invariant geodesics on product manifolds

Marco Mazzucchelli
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Abstract

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

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Marco Mazzucchelli. 2013-07-28. On the multiplicity of isometry-invariant geodesics on product manifolds. https://doi.org/10.2140/agt.2014.14.135

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