[PDF.26cl] 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

[PDF.ug95] Spectral Geometry of the Laplacian: Spectral Analysis and Differential Geometry of the Laplacian

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 | #7183126 in Books |  2016-11-13 | Original language:English | PDF # 1 |  .0 x.0 x.0l,.0 | File type: PDF | 350 pages

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||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 est

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 descr...

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