Collapsing to Riemannian manifolds with boundary and the convergence of the eigenvalues of the Laplacian

被引：1

作者：

Takahashi, Junya ^{[1
]}

机构：

[1] Tohoku Univ, Grad Sch Informat Sci, Div Math, Sendai, Miyagi 9808579, Japan

来源：

MANUSCRIPTA MATHEMATICA | 2006年 / 121卷 / 02期

关键词：

D O I：

10.1007/s00229-006-0035-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that the eigenvalues of the Laplacian acting on functions converge to those of the limit manifold for a special collapsing family of closed Riemannian manifolds without curvature bounds. The proof uses L-2-analysis.

引用

页码：191 / 200

页数：10

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