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
Format: Artikel
Sprache:eng
Schlagworte:
Differential Geometry
Mathematics
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Zusammenfassung: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.
ISSN:0002-9947
1088-6850