Spectral Theory of Complete Riemannian Manifolds

被引：0

作者：

Donnelly, Harold ^{[1
]}

机构：

[1] Purdue Univ, Dept Math, W Lafayette, IN 47907 USA

来源：

PURE AND APPLIED MATHEMATICS QUARTERLY | 2010年 / 6卷 / 02期

关键词：

Ricci curvature; maximal volume growth; Cartan-Hadamard manifolds; Rellich lemma; Kato Birman Theory; PURELY CONTINUOUS-SPECTRUM; CURVATURE; EIGENVALUES; LAPLACIAN; OPERATOR; GEOMETRY; SPACES;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A survey is presented about the spectrum of the Laplace operator on noncompact Riemannian manifolds. Topics include manifolds with purely continuous spectrum, eigenvalues embedded in the continuum, and spectral stability.

引用

页码：439 / 456

页数：18

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