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arXiv · 1701.08829

Rigidity of length-angle spectrum for closed hyperbolic surfaces

Sugata Mondal
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Abstract

The rigidity of marked length spectrum for closed hyperbolic surfaces due to Fricke-Klein [7] has been the motivation of many different rigidity results, specially for manifolds of negative curvature. From the works of Vigneras [18], Sunada [17] and many other authors this result is far from being true for the unmarked length spectrum. The purpose of this paper is to introduce a closely a related unmarked spectrum, the length-angle spectrum, and show that it determines the surface uniquely.

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Sugata Mondal. 2017-01-30. Rigidity of length-angle spectrum for closed hyperbolic surfaces. https://arxiv.org/abs/1701.08829

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