On systoles and ortho spectrum rigidity

Hidetoshi Masai; Greg McShane

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arXiv · 1909.09829

On systoles and ortho spectrum rigidity

Hidetoshi Masai·Greg McShane

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Abstract

We consider the ortho spectrum of hyperbolic surfaces with totally geodesic boundary. We show that in general the ortho spectrum does not determine the systolic length but that there are only finitely many possibilities. As a corollary we show that, up to isometry, there are only finitely many hyperbolic structures on a surface that share a given ortho spectrum.

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BibTeX RIS

Hidetoshi Masai, Greg McShane. 2022-01-17. On systoles and ortho spectrum rigidity. https://arxiv.org/abs/1909.09829

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