Download Spektren verallgemeinerter Hodge-Laplace-Operatoren: Am by Stine Franziska Beitz PDF

By Stine Franziska Beitz

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, additionally dasselbe Spektrum besitzen. Dies ist eine typische Fragestellung in der Spektralgeometrie, in welcher guy die Spektren geometrischer Operatoren untersucht, um von diesen Rückschlüsse auf die Geometrie der zugrundeliegenden Mannigfaltigkeiten zu ziehen. 

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