Albici Mihaela

SOME PROBLEMS REGARDING THE SPECTRA OF HODGE-DE RHAM OPERATORS

The smooth and continuous dependence on the Riemannian metric of the eigenvalues of the Hodge-de Rham operators and its consequences

• Broschiertes Buch

Produktbeschreibung

Spectral geometry deals with the survey of these natural, differential operators spectrums and among other things it tries to emphasize geometrical and topological properties of a manifold that can be recuperated from the spectrums. The present work is going to approach several issues referring to the spectrums of Hodge-de Rham operators on closed Riemannian manifolds. The author of this paper is going to discuss the continuous dependence on the Riemannian metrics on a smooth and closed differential manifold of the eigenvalues of the Hodge-de Rham operators and its restrictions regarding the exact, differential form spaces and consequences of such feature. Moreover, by using J. Wenzelburger s idea [80], [81], we are going to prove that the eigenvalues of the Hodge-de Rham operators even smoothly depend on the Riemannian metrics on a smooth, closed, differential manifold if the Fréchet smooth manifold canonical structure is taken into consideration in the space of all Riemannian metrics with such a manifold.

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Produktdetails

• Verlag: LAP Lambert Academic Publishing
• Seitenzahl: 140
• Erscheinungstermin: 24. Februar 2010
• Englisch
• Abmessung: 220mm x 150mm x 9mm
• Gewicht: 200g
• ISBN-13: 9783838348162
• ISBN-10: 3838348168
• Artikelnr.: 28953166

Autorenporträt

Mihaela Albici, Studied Pure Mathematics at University of West, Timisoara, PhD. Lecturer at University Constantin Brancoveanu, Pitesti