Copied Spektren verallgemeinerter Hodge-Laplace-Operatoren
Spektren verallgemeinerter Hodge-Laplace-Operatoren
Franziska Beitz betrachtet verallgemeinerte Hodge-Laplace-Operatoren, die auf Differentialformen auf kompakten Riemannschen Mannigfaltigkeiten wirken. Im Fall von flachen Tori und runden Sphren verschiedener Radien bestimmt die Autorin explizit das Spektrum dieser Operatoren und untersucht, unter welchen Umstnden 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 Rckschlsse auf die Geometrie der zugrundeliegenden Mannigfaltigkeiten zu ziehen.
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