p-spectrum and collapsing of connected sums

Colette Anné, Junya Takahashi

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)1711-1735
Number of pages25
JournalTransactions of the American Mathematical Society
Volume364
Issue number4
DOIs
Publication statusPublished - 2012 Jan 31

Keywords

  • Atiyah-patodi-singer type boundary condition
  • Collapsing of riemannian manifolds
  • Differential forms
  • Eigenvalue
  • Hodge-de rham operator
  • Laplacian

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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