On the multiplicity of isometry-invariant geodesics on product manifolds
Abstract
We prove that on any closed Riemannian manifold (M 1 × M 2 , g), with rank H 1 (M 1) = 0 and dim(M 2) ≥ 2, every isometry homotopic to the identity admits infinitely many isometry-invariant geodesics.
Domains
Mathematics [math]
Origin : Files produced by the author(s)
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