Sub-Laplacian Eigenvalue Bounds on CR Manifolds

被引：9

作者：

Kokarev, Gerasim ^{[1
]}

机构：

[1] Univ Munich, Math Inst, D-80333 Munich, Germany

来源：

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS | 2013年 / 38卷 / 11期

关键词：

Counting function; CR manifold; Eigenvalues; Sub-Laplacian; VECTOR-FIELDS; THEOREMS; SPACES; METRICS;

D O I：

10.1080/03605302.2013.831447

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove upper bounds for sub-Laplacian eigenvalues independent of a pseudo-Hermitian structure on a CR manifold. These bounds are compatible with the Menikoff-Sjostrand asymptotic law, and can be viewed as a CR version of Korevaar's bounds for Laplace eigenvalues of conformal metrics.

引用

页码：1971 / 1984

页数：14

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