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Isospectral finiteness on convex cocompact hyperbolic 3-manifolds
Communications in Contemporary Mathematics ( IF 1.2 ) Pub Date : 2021-06-09 , DOI: 10.1142/s0219199721500589
Gilles Courtois 1 , Inkang Kim 2
Affiliation  

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



中文翻译:

凸协紧双曲 3 流形上的等谱有限性

在本文中,我们表明,给定一组封闭测地线的长度,只有有限多个具有指定长度谱的凸协紧双曲 3 流形,具有多重性,同伦等效于给定的 3 流形,没有手柄体因子,最多方向保持等距。

更新日期:2021-06-09
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