P-spectrum and collapsing of connected sums, calculus of the limit

P-spectrum and collapsing of connected sums, calculus of the limit

The goal of the paper is to calculate the limit sectrum of the Hodge-Laplace operator under the perturbation of collapse of one part of a connected sum. This gives some new results concerning the 'conformal spectrum' on differential forms.

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Veröffentlicht in:Transactions of the American Mathematical Society 2012-04, Vol.364 (4), p.1711-1735
Hauptverfasser: Anné, Colette, Takahashi, Junya
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Sprache:eng
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Differential Geometry
Mathematics
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container_title Transactions of the American Mathematical Society
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creator Anné, Colette
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description The goal of the paper is to calculate the limit sectrum of the Hodge-Laplace operator under the perturbation of collapse of one part of a connected sum. This gives some new results concerning the 'conformal spectrum' on differential forms.
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1088-6850
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source American Mathematical Society Publications (Freely Accessible); Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals; JSTOR Mathematics & Statistics; JSTOR Archive Collection A-Z Listing; American Mathematical Society Publications
subjects Differential Geometry
Mathematics
title P-spectrum and collapsing of connected sums, calculus of the limit
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