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Spectral Geometry Of The Laplacian: Spectral Analysis And Differential Geometry Of The Laplacian (Hardcover) Loot Price: R2,921
Discovery Miles 29 210
Repayment Terms: R274 pm x 12*
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Spectral Geometry Of The Laplacian: Spectral Analysis And Differential Geometry Of The Laplacian (Hardcover): Hajime Urakawa

Spectral Geometry Of The Laplacian: Spectral Analysis And Differential Geometry Of The Laplacian (Hardcover)

Hajime Urakawa

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Loot Price R2,921 Discovery Miles 29 210 | Repayment Terms: R274 pm x 12*

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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-Polya-Weinberger's inequality of the Dirichlet eigenvalue of the Laplacian are also described. Then, the theorem of Colin de Verdiere, 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.

General

Imprint: World Scientific Publishing Co Pte Ltd
Country of origin: Singapore
Release date: August 2017
First published: 2017
Authors: Hajime Urakawa
Dimensions: 235 x 159 x 23mm (L x W x T)
Format: Hardcover
Pages: 312
ISBN-13: 978-981-3109-08-7
Categories: Books > Science & Mathematics > Mathematics > Geometry > Differential & Riemannian geometry
LSN: 981-3109-08-4
Barcode: 9789813109087

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