Compact Heisenberg manifolds as CR manifolds

Compact Heisenberg manifolds as CR manifolds
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紧凑型海森堡流形作为 CR 流形

DOI:
10.1007/bf02922102
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发表时间:
2004
期刊:
The Journal of Geometric Analysis
影响因子:
--
通讯作者:
G. Folland
G. Folland
中科院分区:
--
文献类型:
--
作者:
G. Folland

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设M是Heisenberg群与一个具有自然强伪凸CR结构的离散余紧子群的商。我们确定的Kohn拉普拉斯算子的特征值和特征形的M,并显示如何实现M作为一个有界域的边界线丛上的阿贝尔品种。
Let M be the quotient of the Heisenberg group by a discrete co-compact subgroup, with the natural strongly pseudoconvex CR structure. We identify the eigenvalues and eigenforms of the Kohn Laplacians on M and show how to realize M as the boundary of a bounded domain in a line bundle over an Abelian variety.