论文标题

镜头空间上的Kohn Laplacian的光谱分析

Spectral Analysis of the Kohn Laplacian on Lens Spaces

论文作者

Fan, Colin, Kim, Elena, Shors, Ian, Plzak, Zoe, Sottile, Samuel, Zeytuncu, Yunus E.

论文摘要

我们获得了透镜空间上科恩·拉普拉斯(Kohn Laplacian)的Weyl定律的类似物。我们还表明,在且仅当它们是等值范围时,相对于Kohn Laplacian的两个基本组的两个三维晶状体空间相对于Kohn Laplacian而言是同一谱。

We obtain an analog of Weyl's law for the Kohn Laplacian on lens spaces. We also show that two 3-dimensional lens spaces with fundamental groups of equal prime order are isospectral with respect to the Kohn Laplacian if and only if they are CR isometric.

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