Rigidity of length-angle spectrum for closed hyperbolic surfaces
Differential Geometry
2017-02-01 v1
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.
Cite
@article{arxiv.1701.08829,
title = {Rigidity of length-angle spectrum for closed hyperbolic surfaces},
author = {Sugata Mondal},
journal= {arXiv preprint arXiv:1701.08829},
year = {2017}
}