Small eigenvalues of random 3-manifolds

arXiv: Geometric Topology Pub Date : 2019-03-19 DOI:10.1090/tran/8564

U. Hamenstaedt, Gabriele Viaggi

引用次数: 8

Abstract

We show that for every $g\geq 2$ there exists a number $c=c(g)>0$ such that the smallest positive eigenvalue of a random closed 3-manifold $M$ of Heegaard genus $g$ is at most $c(g)/{\rm vol}(M)^2$.

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随机3流形的小特征值

我们证明了对于每一个$g\geq 2$存在一个数$c=c(g)>0$，使得Heegaard属$g$的随机闭3流形$M$的最小正特征值不超过$c(g)/{\rm vol}(M)^2$。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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arXiv: Geometric Topology

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