On a multiplicity one property for the length spectra of even dimensional compact hyperbolic spaces

Bhagwat, Chandrasheel ; Rajan, C. S. (2011) On a multiplicity one property for the length spectra of even dimensional compact hyperbolic spaces Journal of Number Theory, 131 (11). pp. 2239-2244. ISSN 0022-314X

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Official URL: http://www.sciencedirect.com/science/article/pii/S...

Related URL: http://dx.doi.org/10.1016/j.jnt.2011.05.009

Abstract

We prove a multiplicity one theorem for the length spectrum of compact even dimensional hyperbolic spaces, i.e., if all but finitely many closed geodesics for two compact even dimensional hyperbolic spaces have the same length, then all closed geodesics have the same length.

Item Type:Article
Source:Copyright of this article belongs to Elsevier Science.
Keywords:Compact Hyperbolic Spaces; Length Spectrum; Zeta Functions
ID Code:95356
Deposited On:07 Nov 2012 04:30
Last Modified:07 Nov 2012 04:30

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