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| HAL: hal-00503230, version 4 |
| arXiv: 1007.2949 |
| Detailed view |  Export this paper |
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| Available versions: | v1 (2010-07-17) | v2 (2011-02-21) | v3 (2011-09-02) | v4 (2012-04-10) |
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| Partial collapsing and the spectrum of the Hodge Laplacian |
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| Colette Anné 1Junya Takahashi 2 |
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| (2010-07-17) |
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| 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}. |
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| 1: | Laboratoire de Mathématiques Jean Leray (LMJL) |
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CNRS : UMR6629 – Université de Nantes – École Centrale de Nantes |
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| 2: | Division of Mathematics |
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Ministère de l'Enseignement Supérieur et de la Recherche Scientifique |
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| Subject | : | Mathematics/Differential Geometry |
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| Laplacian – Hodge-de Rham operator – differential forms – eigenvalues – collapsing of Riemannian manifolds – Atiyah-Patodi-Singer type boundary condition |
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| hal-00503230, version 4 | |
| http://hal.archives-ouvertes.fr/hal-00503230 | |
| oai:hal.archives-ouvertes.fr:hal-00503230 | |
| From: Colette Anné | |
| Submitted on: Tuesday, 10 April 2012 10:01:48 | |
| Updated on: Tuesday, 10 April 2012 13:09:53 | |
