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Spectral Geometry Of The Laplacian: Spectral Analysis And Differential Geometry Of The Laplacian by Hajime Urakawa (Tohoku Univ, Japan) at Abbey's Bookshop,
Spectral Geometry Of The Laplacian: Spectral Analysis And Differential Geometry Of The Laplacian
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Hajime Urakawa (Tohoku Univ, Japan)

Spectral Geometry Of The Laplacian

Spectral Analysis And Differential Geometry Of The Laplacian

Hajime Urakawa (Tohoku Univ, Japan)

$212.99

Hardback

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English
World Scientific Publishing Co Pte Ltd
02 June 2017
Differential & Riemannian geometry
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.
By:  
Imprint:   World Scientific Publishing Co Pte Ltd
Country of Publication:   Singapore
ISBN:   9789813109087
ISBN 10:   9813109084
Pages:   312
Publication Date:  
Audience:   College/higher education ,  Further / Higher Education
Format:   Hardback
Publisher's Status:   Active

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