Boundary and Lens Rigidity of Finite Quotients
نویسندگان
چکیده
We consider compact Riemannian manifolds (M,∂M, g) with boundary ∂M and metric g on which a finite group Γ acts freely. We determine the extent to which certain rigidity properties of (M,∂M, g) descend to the quotient (M/Γ, ∂/Γ, g). In particular, we show by example that if (M,∂M, g) is boundary rigid then (M/Γ, ∂/Γ, g) need not be. On the other hand, lens rigidity of (M,∂M, g) does pass to the quotient.
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