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arXiv · 1612.04594

Isospectral finiteness on convex cocompact hyperbolic 3-manifolds

Gilles Courtois·Inkang Kim
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Abstract

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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Gilles Courtois, Inkang Kim. 2017-01-06. Isospectral finiteness on convex cocompact hyperbolic 3-manifolds. https://arxiv.org/abs/1612.04594

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