p-spectrum and collapsing of connected sums

Colette Anné; Junya Takahashi

doi:10.1090/S0002-9947-2011-05351-1

p-spectrum and collapsing of connected sums

Colette Anné, Junya Takahashi

INF - System Information Sciences

Laboratoire de Mathématiques Jean Leray

Research output: Contribution to journal › Article › peer-review

2 Citations (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 language	English
Pages (from-to)	1711-1735
Number of pages	25
Journal	Transactions of the American Mathematical Society
Volume	364
Issue number	4
DOIs	https://doi.org/10.1090/S0002-9947-2011-05351-1
Publication status	Published - 2012

Keywords

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

Access to Document

10.1090/S0002-9947-2011-05351-1

Cite this

@article{dd564a9da0d745c5a02b0fc705d364ee,

title = "p-spectrum and collapsing of connected sums",

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.",

keywords = "Atiyah-patodi-singer type boundary condition, Collapsing of riemannian manifolds, Differential forms, Eigenvalue, Hodge-de rham operator, Laplacian",

author = "Colette Ann{\'e} and Junya Takahashi",

year = "2012",

doi = "10.1090/S0002-9947-2011-05351-1",

language = "English",

volume = "364",

pages = "1711--1735",

journal = "Transactions of the American Mathematical Society",

issn = "0002-9947",

publisher = "American Mathematical Society",

number = "4",

}

TY - JOUR

T1 - p-spectrum and collapsing of connected sums

AU - Anné, Colette

AU - Takahashi, Junya

PY - 2012

Y1 - 2012

N2 - 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.

AB - 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.

KW - Atiyah-patodi-singer type boundary condition

KW - Collapsing of riemannian manifolds

KW - Differential forms

KW - Eigenvalue

KW - Hodge-de rham operator

KW - Laplacian

UR - http://www.scopus.com/inward/record.url?scp=84856305307&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84856305307&partnerID=8YFLogxK

U2 - 10.1090/S0002-9947-2011-05351-1

DO - 10.1090/S0002-9947-2011-05351-1

M3 - Article

AN - SCOPUS:84856305307

SN - 0002-9947

VL - 364

SP - 1711

EP - 1735

JO - Transactions of the American Mathematical Society

JF - Transactions of the American Mathematical Society

IS - 4

ER -

p-spectrum and collapsing of connected sums

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this