Partial collapsing and the spectrum of the Hodge Laplacian

Autor:	Anné, Colette, Takahashi, Junya
Rok vydání:	2010
Předmět:	Mathematics - Differential Geometry
Zdroj:	Anal. PDE 8 (2015) 1025-1050
Druh dokumentu:	Working Paper
DOI:	10.2140/apde.2015.8.1025
Popis:	The goal of the present paper is to calculate the limit spectrum of the Hodge-de Rham operator under the perturbation of collapsing one part of a manifold obtained by gluing together two manifolds with the same boundary. It appears to take place in the general problem of blowing up conical singularities as introduced in \cite{Maz} and \cite{Row1,Row2}. Comment: 23 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1007.2949 Zobrazit plný text záznamu View this record from Arxiv