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Old and New Aspects in Spectral Geometry (Mathematics and Its Applications (closed)) (v. 534)
Craioveanu, M.-E., Puta, Mircea, Rassias, Themistocles M.
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Description for Old and New Aspects in Spectral Geometry (Mathematics and Its Applications (closed)) (v. 534)
Hardcover. Presents the results and techniques concerning the spectral geometry corresponding to the Laplace-Beltrami operator and the Hodge-de Rham operators. This work also treats topics such as the continuous dependence of the eigenvalues with respect to the Riemannian metric in the CINFINITY-topology, and their consequences. Series: Mathematics and its Applications. Num Pages: 446 pages, biography. BIC Classification: PBMP; PBP. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 243 x 165 x 31. Weight in Grams: 800.
It is known that to any Riemannian manifold (M, g ) , with or without boundary, one can associate certain fundamental objects. Among them are the Laplace-Beltrami opera tor and the Hodge-de Rham operators, which are natural [that is, they commute with the isometries of (M,g)], elliptic, self-adjoint second order differential operators acting on the space of real valued smooth functions on M and the spaces of smooth differential forms on M, respectively. If M is closed, the spectrum of each such operator is an infinite divergent sequence of real numbers, each eigenvalue being repeated according to its finite multiplicity. ... Read more
It is known that to any Riemannian manifold (M, g ) , with or without boundary, one can associate certain fundamental objects. Among them are the Laplace-Beltrami opera tor and the Hodge-de Rham operators, which are natural [that is, they commute with the isometries of (M,g)], elliptic, self-adjoint second order differential operators acting on the space of real valued smooth functions on M and the spaces of smooth differential forms on M, respectively. If M is closed, the spectrum of each such operator is an infinite divergent sequence of real numbers, each eigenvalue being repeated according to its finite multiplicity. ... Read more
Product Details
Format
Hardback
Publication date
2001
Publisher
Springer
Condition
New
Number of Pages
446
Place of Publication
New York, NY, United States
ISBN
9781402000522
SKU
V9781402000522
Shipping Time
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Ref
99-15
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