Isospectral finiteness on convex cocompact hyperbolic 3-manifolds
classification
🧮 math.GT
keywords
cocompactconvexgivenhyperbolicmanifoldsclosedequivalentfactor
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In this paper we show that a given set of lengths of closed geodesics, there are only finitely many convex cocompact hyperbolic 3-manifolds with that specified length spectrum, homotopy equivalent to a given 3-manifold without a handlebody factor, up to orientation preserving isometries.
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