-spectrum and collapsing of connected sums

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY（2012）

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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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关键词

Laplacian,Hodge-de Rham operator,differential forms,eigenvalue,collapsing of Riemannian manifolds,Atiyah-Patodi-Singer type boundary condition

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