Spectral Geometry Of The Laplacian: Spectral Analysis And Differential Geometry Of The Laplacian
Book Details
AI Summary
Delivery Location
Delivery fee: Select location
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–Pólya–Weinberger's inequality of the Dirichlet eigenvalue of the Laplacian are also described. Then, the theorem of Colin de Verdière, 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.
Get Spectral Geometry Of The Laplacian: Spectral Analysis And Differential Geometry Of The Laplacian by at the best price and quality guaranteed only at Werezi Africa's largest book ecommerce store. The book was published by World Scientific Publishing Co Pte Ltd and it has pages.
Discover books you might love based on this title.
More in This Genre
An Introduction to Riemannian Geometry and the Tensor Calculus
Ksh 7,200.00
Differential Geometry of Curves and Surfaces with Singularities
Ksh 21,600.00
Linear Fractional Transformations
Ksh 9,000.00
Dual Jet Geometrization for Time-Dependent Hamiltonians and Applications
Ksh 9,000.00
Geometric Continuum Mechanics
Ksh 19,800.00
Null Curves And Hypersurfaces Of Semi-riemannian Manifolds
Ksh 14,750.00
