Ebook Download Spectral Geometry of the Laplacian: Spectral Analysis and Differential Geometry of the Laplacian

Ebook Download Spectral Geometry of the Laplacian: Spectral Analysis and Differential Geometry of the Laplacian

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Spectral Geometry of the Laplacian: Spectral Analysis and Differential Geometry of the Laplacian

Spectral Geometry of the Laplacian: Spectral Analysis and Differential Geometry of the Laplacian


Spectral Geometry of the Laplacian: Spectral Analysis and Differential Geometry of the Laplacian


Ebook Download Spectral Geometry of the Laplacian: Spectral Analysis and Differential Geometry of the Laplacian

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Spectral Geometry of the Laplacian: Spectral Analysis and Differential Geometry of the Laplacian

From the Inside Flap

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 LichnerowiczObata's theorem on the first eigenvalue, the Cheng's estimates of the kth eigenvalues, and PaynePolyaWeinberger's inequality of the Dirichlet eigenvalue of the Laplacian are also described. Then, the theorem of Colin de Verdier, 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.

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Product details

Hardcover: 312 pages

Publisher: World Scientific Publishing Company (August 2, 2017)

Language: English

ISBN-10: 9789813109087

ISBN-13: 978-9813109087

ASIN: 9813109084

Product Dimensions:

5.9 x 0.9 x 9.1 inches

Shipping Weight: 1.3 pounds (View shipping rates and policies)

Average Customer Review:

5.0 out of 5 stars

1 customer review

Amazon Best Sellers Rank:

#2,049,600 in Books (See Top 100 in Books)

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