零流形的轨道重商上的等谱变形
An isospectral deformation on an orbifold quotient of a nilmanifold
摘要:
我们构造了一个在零流形的轨道商上度量的Laplace等谱变形。变形中的每个轨道褶皱都包含具有二阶各向同性的奇点。等谱性是通过修改DeTurck和Gordon的Sunada定理的推广而得到的。
英文摘要:
We construct a Laplace isospectral deformation of metrics on an orbifold quotient of a nilmanifold. Each orbifold in the deformation contains singular points with order two isotropy. Isospectrality is obtained by modifying a generalization of Sunada's Theorem due to DeTurck and Gordon.
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