The length spectrum of a Riemann surface is always of unbounded multiplicity-Reference-Cited by-同舟云学术

The length spectrum of a Riemann surface is always of unbounded multiplicity

Published:1980 Issue:3 Volume:78 Page:455-456
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Randol Burton

Abstract

I show that the length spectrum of a Riemann surface is always of unbounded multiplicity, and indicate connections with recent work of Guillemin and Kazhdan.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1980-078-03/S0002-9939-1980-0553396-1/S0002-9939-1980-0553396-1.pdf

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3. On Dehn’s algorithms for the conjugacy and word problems, with applications;Greendlinger, Martin;Comm. Pure Appl. Math.,1960

4. V. Guillemin and D. Kazhdan, Some inverse spectral results for negatively curved two-manifolds (preprint).

5. Characters of free groups represented in the two-dimensional special linear group;Horowitz, Robert D.;Comm. Pure Appl. Math.,1972

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