Old and new aspects in spectral geometry / by Mircea Craioveanu and Mircea Puta and Themistocles M. Rassias.

Format:

Book

Author/Creator:

Craioveanu, M. (Mircea)

Contributor:

Puta, Mircea.

Rassias, Themistocles M., 1951-

Series:

Mathematics and its applications (Kluwer Academic Publishers) ; v. 534.

Mathematics and its applications ; v. 534.

Language:

English

Subjects (All):

Spectral geometry.

Physical Description:

ix, 445 pages ; 25 cm.

Place of Publication:

Dordrecht ; Boston : Kluwer Academic, [2001]

Summary:

This work presents some classical as well as some very recent results and techniques concerning the spectral geometry corresponding to the Laplace-Beltrami operator and the Hodge-de Rham operators. It treats many topics that are not usually dealt with in this field, such as the continuous dependence of the eigenvalues with respect to the Riemannian metric in the CINFINITY-topology, and some of their consequences, such as Uhlenbeck's genericity theorem; examples of non-isometric flat tori in all dimensions greater than or equal to four; Gordon's classical technique for constructing isospectral closed Riemannian manifolds; a detailed presentation of Sunada's technique and Pesce's approach to isospectrality; Gordon and Webb's example of non-isometric convex domains in Rn (n>

Notes:

Includes bibliographical references and index.

ISBN:

1402000529

OCLC:

47893050