p-SPECTRUM AND COLLAPSING OF CONNECTED SUMS

被引：3
|
作者：
Anne, Colette [1 ]
Takahashi, Junya [2 ]
机构：
[1] Univ Nantes, CNRS, Fac Sci, Lab Math Jean Leray, F-44322 Nantes, France
[2] Tohoku Univ, Grad Sch Informat Sci, Div Math, Sendai, Miyagi 9808579, Japan
来源：
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2012年 / 364卷 / 04期
关键词：
Laplacian; Hodge-de Rham operator; differential forms; eigenvalue; collapsing of Riemannian manifolds; Atiyah-Patodi-Singer type boundary condition; HODGE-DE-RHAM; LAPLACE OPERATOR; CONFORMAL CLASS; FORM LAPLACIAN; INDEX THEOREM; EIGENVALUES; PRESCRIPTION; MULTIPLICITY; MANIFOLDS; GEOMETRY;
D O I：
10.1090/S0002-9947-2011-05351-1
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The goal of the present paper is to calculate the limit of the spectrum of the Hodge-de Rham operator under the perturbation of collapse of one part of a connected sum. It takes place in the general problem of blowing up conical singularities introduced by R. Mazzeo and J. Rowlett.
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页码：1711 / 1735
页数：25
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