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

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

2011-02-02

arxiv.org/abs/1102.0363v2

Mathematics

Number Theory

Scientific paper

We prove a strong 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.

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