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Spektren verallgemeinerter Hodge-Laplace-Operatoren

Spektren verallgemeinerter Hodge-Laplace-Operatoren

Stine Franziska Beitz

54,36 €
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Editorial:
Springer Nature B.V.
Año de edición:
2016
Materia
Cálculo y análisis matemático
ISBN:
9783658131098
54,36 €
IVA incluido
Disponible

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Sobre IBD

Franziska Beitz betrachtet verallgemeinerte Hodge-Laplace-Operatoren, die auf Differentialformen auf kompakten Riemannschen Mannigfaltigkeiten wirken. Im Fall von flachen Tori und runden Sphären verschiedener Radien bestimmt die Autorin explizit das Spektrum dieser Operatoren und untersucht, unter welchen Umständen diese isospektral sind, also dasselbe Spektrum besitzen. Dies ist eine typische Fragestellung in der Spektralgeometrie, in welcher man die Spektren geometrischer Operatoren untersucht, um von diesen Rückschlüsse auf die Geometrie der zugrundeliegenden Mannigfaltigkeiten zu ziehen. 

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