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Morse estimates for translated points on unit tangent bundles
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Paper
Morse estimates for translated points on unit tangent bundles
2022
Overview
In this article, we study conjectures of Sandon on the minimal number of translated points in the special case of the unit tangent bundle of a Riemannian manifold. We restrict ourselves to contactomorphisms of \\(SM\\) that lift diffeomorphisms of \\(M\\) homotopic to identity. We prove that there exist sequences \\((p_n,t_n)\\) where \\(p_n\\) is a translated point of time-shift \\(t_n\\) with \\(t_n\\to+\\infty\\) for a large class of manifolds. We also prove Morse estimates on the number of translated points in the case of Zoll Riemannian manifolds.
Publisher
Cornell University Library, arXiv.org
Subject
