Spectral Geometry Of The Laplacian

Spectral Geometry Of The Laplacian

World Scientific | English | 2017 | ISBN-10: 9813109084 | 312 Pages | PDF | 2.42 mb
by Hajime Urakawa (Author)

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-P¨Žlya-Weinberger'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.



[Fast Download] Spectral Geometry Of The Laplacian

Ebooks related to "Spectral Geometry Of The Laplacian" :
Universal Themes of Bose-Einstein Condensation
Mathematical Statistics
Intermediate Algebra, 11th Edition
Introductory Statistics, 9th Edition
Forestry and Water Conservation in South Africa: History, Science and Policy (World Forest History S
Fourier Analysis and Hausdorff Dimension
Discretization and Implicit Mapping Dynamics
Deep Convection and Deep Water Formation in the Oceans
An Introductory Course on Mathematical Game Theory
USA International Mathematical Olympiads 2003-2004
Copyright Disclaimer:
This site does not store any files on its server. We only index and link to content provided by other sites. Please contact the content providers to delete copyright contents if any and email us, we'll remove relevant links or contents immediately.