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arXiv · 1108.4938

Lens rigidity with trapped geodesics in two dimensions

Christopher B. Croke·Pilar Herreros
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Abstract

We consider the scattering and lens rigidity of compact surfaces with boundary that have a trapped geodesic. In particular we show that the flat cylinder and the flat Möbius strip are determined by their lens data. We also see by example that the flat Möbius strip is not determined by it's scattering data. We then consider the case of negatively curved cylinders with convex boundary and show that they are lens rigid.

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Christopher B. Croke, Pilar Herreros. 2011-08-24. Lens rigidity with trapped geodesics in two dimensions. https://arxiv.org/abs/1108.4938

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