Spectral gaps on complete Riemannian manifolds

被引：1

作者：

Charalambous, Nelia ^{[1
]}

Leal, Helton ^{[2
]}

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：

GEOMETRY OF SUBMANIFOLDS | 2020年 / 756卷

关键词：

Essential spectrum; spectral gap; Laplacian; Gromov-Hausdorff convergence; RICCI CURVATURE; LAPLACIAN; EIGENVALUES; OPERATORS;

D O I：

10.1090/conm/756/15196

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this short note, we survey some basic results related to the New Weyl criterion for the essential spectrum. We then use the language of Gromov-Hausdorff convergence to prove a spectral gap theorem.

引用

页码：57 / 67

页数：11

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