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Spectral Geometry Of The Laplacian Spectral Analysis And Differential Geometry Of The Laplacian Hajime Urakawa

Name: Spectral Geometry Of The Laplacian Spectral Analysis And Differential Geometry Of The Laplacian Hajime Urakawa
SKU: BELL-6868784
Price: 31.00 USD
Availability: InStock
Rating: 4 (96 reviews)

SKU: BELL-6868784

$ 31.00 ~~$ 45.00~~ (-31%)

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96 reviews

Spectral Geometry Of The Laplacian Spectral Analysis And Differential Geometry Of The Laplacian Hajime Urakawa instant download after payment.

Publisher: World Scientific

File Extension: PDF

File size: 2.26 MB

Pages: 312

Author: Hajime Urakawa

ISBN: 9789813109087, 9813109084

Language: English

Year: 2017

Product desciption

Spectral Geometry Of The Laplacian Spectral Analysis And Differential Geometry Of The Laplacian Hajime Urakawa by Hajime Urakawa 9789813109087, 9813109084 instant download after payment.

The totality of the eigenvalues of the Laplacian of a compact Riemannian manifold is called the spectrum. We describe how the spectrum determines a Riemannian manifold. The continuity of the eigenvalue of the Laplacian, Cheeger and Yau's estimate of the first eigenvalue, the Lichnerowicz–Obata's theorem on the first eigenvalue, the Cheng's estimates of the kth eigenvalues, and Payne–Pólya–Weinberger's inequality of the Dirichlet eigenvalue of the Laplacian are also described. Then, the theorem of Colin de Verdière, that is, the spectrum determines the totality of all the lengths of closed geodesics is described. We give the V Guillemin and D Kazhdan's theorem which determines the Riemannian manifold of negative curvature.

Readership: Researchers in differential geometry and partial differential equations.