Families of mutually isospectral Riemannian orbifolds
Families of mutually isospectral Riemannian orbifolds
复制标题
互等谱黎曼轨道族
DOI：
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发表时间：
2013
期刊：
影响因子：
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通讯作者：
Benjamin Linowitz
中科院分区：
文献类型：
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作者：
Benjamin Linowitz
在本文中，我们考虑三个算术族的等谱非等距黎曼orbifolds，并在每种情况下推导出一个上限的家庭的大小是多项式的函数的orbifolds。我们考虑的第一个族是由Vignéras方法构造的族。第二类和第三类是覆盖群为PGL 2（R）a× PGL 2（C）B的最小余体积算术子群和最大算术子群的一类。
In this paper, we consider three arithmetic families of isospectral non‐isometric Riemannian orbifolds and in each case derive an upper bound for the size of the family which is polynomial as a function of the volume of the orbifolds. The first family that we consider are those constructed by Vignéras’ method. The second and third families are those whose covering groups are the minimal covolume arithmetic subgroups and maximal arithmetic subgroups of PGL2(R)a×PGL2(C)b .
DOI：
10.4007/annals.2010.172.2197
发表时间：
2008-11
期刊：
arXiv: Group Theory
影响因子：
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作者：
M. Belolipetsky;T. Gelander;A. Lubotzky;A. Shalev
通讯作者：
M. Belolipetsky;T. Gelander;A. Lubotzky;A. Shalev