SPECTRUM OF THE COMPLEX LAPLACIAN ON PRODUCT DOMAINS

被引：8

作者：

Chakrabarti, Debraj ^{[1
]}

机构：

[1] Univ Notre Dame, Dept Math, Notre Dame, IN 46556 USA

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2010年 / 138卷 / 09期

关键词：

DERIVATIVE-NEUMANN PROBLEM;

D O I：

10.1090/S0002-9939-10-10522-X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that the spectrum of the complex Laplacian square on a product of Hermitian manifolds is the Minkowski sum of the spectra of the complex Laplacians on the factors. We use this to show that the range of the Cauchy-Riemann operator (partial derivative) over bar is closed on a product manifold, provided it is closed on each factor manifold.

引用

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页码：3187 / 3202

页数：16

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