On the spectrum of the Laplacian

被引：14

作者：

Charalambous, Nelia ^{[1
]}

Lu, Zhiqin ^{[2
]}

机构：

[1] Univ Cyprus, Dept Math & Stat, CY-1678 Nicosia, Cyprus

[2] Univ Calif Irvine, Dept Math, Irvine, CA 92697 USA

来源：

MATHEMATISCHE ANNALEN | 2014年 / 359卷 / 1-2期

基金：

美国国家科学基金会;

关键词：

COMPLETE RIEMANNIAN-MANIFOLDS; NONNEGATIVE RICCI CURVATURE;

D O I：

10.1007/s00208-013-1000-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article we prove a generalization of Weyl's criterion for the essential spectrum of a self-adjoint operator on a Hilbert space. We then apply this criterion to the Laplacian on functions over open manifolds and get new results for its essential spectrum.

引用

页码：211 / 238

页数：28

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