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On a multiplicity one property for the length spectra of even dimensional compact hyperbolic spaces
Authors:Chandrasheel Bhagwat  CS Rajan
Institution:Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai 400005, India
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.
Keywords:Compact hyperbolic spaces  Length spectrum  Zeta functions
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