The genus spectrum of a hyperbolic 3-manifold
The genus spectrum of a hyperbolic 3-manifold
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双曲 3 流形的属谱
DOI：
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发表时间：
2009
期刊：
影响因子：
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通讯作者：
A. Reid
中科院分区：
文献类型：
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作者：
D. McReynolds;A. Reid
本文研究了有限体积双曲三维流形的全测地曲面的谱。我们表明，算术双曲3-流形，包含一个全测地表面，这个频谱确定的可扩展性类。此外，我们证明了任何有限体积双曲三维流形都有许多对具有相同谱的非等距有限覆盖。忘记多重性，我们也可以构建体积比无限的对。
In this paper, we study the spectrum of totally geodesic surfaces of a finite volume hyperbolic 3-manifold. We show that for arithmetic hyperbolic 3-manifolds that contain a totally geodesic surface, this spectrum determines the commensurability class. In addition, we show that any finite volume hyperbolic 3-manifold has many pairs of non-isometric finite covers with identical spectra. Forgetting multiplicities, we can also construct pairs where the volume ratio is unbounded.