弱可分算术群、闭测地线的长度和等谱局部对称空间
Weakly commensurable arithmetic groups, lengths of closed geodesics and isospectral locally symmetric spaces
摘要:
引入了算术子群的弱可积性的概念,并将其与局部对称空间的长度等价和等谱性联系起来。我们证明了许多强的后果弱可分解性和来自这些许多有趣的结果等长和等谱局部对称空间。
英文摘要:
We introduce the notion of weak commensurabilty of arithmetic subgroups and relate it to the length equivalence and isospectrality of locally symmetric spaces. We prove many strong consequences of weak commensurabilty and derive from these many interesting results about isolength and isospectral locally symmetric spaces.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。