Description: Spectral Geometry of the Laplacian : Spectral Analysis and Differential Geometry of the Laplacian, Hardcover by Urakawa, Hajime, ISBN 9813109084, ISBN-13 9789813109087, Like New Used, Free shipping in the US Presenting a general theory of the spectral geometry of the Laplacian on a compact Riemannian manifold, Urakawa gives the precise theory of the behavior of the eigenvalues and the eigenfunctions of the Laplacian and the corresponding heat kernal acting on the space of C to the infinite functions on a compact Riemannian manifold. He covers fundamental materials of Riemannian geometry; the space of Riemannian metrics, and continuity of the eigenvalues; Cheeger and Yau estimates on the minimum positive eigenvalue; the estimation of the kth eigenvalue and Lichnerowicz-Obata's theorem; the Payne, Pólya, and Weinberger type inequalities for the Dirichlet eigenvalues; the heat equation and the set of lengths of closed geodesics; and negative curvature manifolds and the spectral rigidity theorem. Annotation ©2017 Ringgold, Inc., Portland, OR ()
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Book Title: Spectral Geometry of the Laplacian : Spectral Analysis and Differ
Number of Pages: 350 Pages
Publication Name: Spectral Geometry of the Laplacian : Spectral Analysis and Differential Geometry of the Laplacian
Language: English
Publisher: World Industries Scientific Publishing Co Pte LTD
Subject: Geometry / Differential, Geometry / General, Research, Differential Equations / Partial
Publication Year: 2016
Item Weight: 0 Oz
Type: Textbook
Subject Area: Mathematics
Author: Hajime Urakawa
Format: Hardcover
