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arXiv · 2309.10882

A counterexample to marked length spectrum semi-rigidity

Andrey Gogolev·James Marshall Reber
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Abstract

Given a closed orientable negatively curved Riemannian surface $(M,g)$, we show how to construct a perturbation $(M,g^\prime)$ such that each closed geodesic becomes longer, and yet there is no diffeomorphism $f : (M,g^\prime) \rightarrow (M,g)$ which contracts every tangent vector.

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Andrey Gogolev, James Marshall Reber. 2023-09-19. A counterexample to marked length spectrum semi-rigidity. https://arxiv.org/abs/2309.10882

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