Asymptotic Formulae in Spectral Geometry - 5 Angebote vergleichen

Lieferung aus: Vereinigte Staaten von Amerika, Ebook for download.
Science, A great deal of progress has been made recently in the field of asymptotic formulas that arise in the theory of Dirac and Laplace type operators. Asymptotic Formulae in Spectral Geometry collects these results and computations into one book. Written by a leading pioneer in the field, it focuses on the functorial and special cases methods of computing asymptotic heat trace and heat content coefficients in the heat equation. It incorporates the work of many authors into the presentation, and includes a complete bibliography that serves as a roadmap to the literature on the subject. Geometers, mathematical physicists, and analysts alike will undoubtedly find this book to be the definitive book on the subject, eBook.

Lieferung aus: Vereinigtes Königreich Großbritannien und Nordirland, in-stock.
A great deal of progress has been made recently in the field of asymptotic formulas that arise in the theory of Dirac and Laplace type operators. These include not only the classical heat trace asymptotics and heat content asymptotics, but also the more exotic objects encountered in the context of manifolds with boundaries and imposing suitable boundary conditions. To date, however, there has been no unified discussion of these results. Asymptotic Formulae in Spectral Geometry collects these results and computations into one book. The author focuses on the functorial and special cases methods of computing asymptotic heat trace and heat content coefficients in the heat equation and introduces results derived from the Seeley Calculus and other methods. He incorporates the work of many authors into the presentation, and includes a complete bibliography that serves as a roadmap to the literature on the subject. The formulas studied here are important not only for their intrinsic interest, but also for their applications to areas such as index theory, compactness theorems for moduli spaces of isospectral metics, and zeta function regularization. Geometers, mathematical physicists, and analysts alike will undoubtedly find this book to be up to date, well organized, and broad in scope-in short, the definitive book on the subject.

Lieferung aus: Deutschland, Free shipping.
Geometry of Walker Manifolds: This book, which focuses on the study of curvature, is an introduction to various aspects of pseudo-Riemannian geometry. We shall use Walker manifolds (pseudo-Riemannian manifolds which admit a non-trivial parallel null plane field) to exemplify some of the main differences between the geometry of Riemannian manifolds and the geometry of pseudo-Riemannian manifolds and thereby illustrate phenomena in pseudo-Riemannian geometry that are quite different from those which occur in Riemannian geometry, i.e. for indefinite as opposed to positive definite metrics. Indefinite metrics are important in many diverse physical contexts: classical cosmological models (general relativity) and string theory to name but two. Walker manifolds appear naturally in numerous physical settings and provide examples of extremal mathematical situations as will be discussed presently. To describe the geometry of a pseudo-Riemannian manifold, one must first understand the curvature of the manifold. We shall analyze a wide variety of curvature properties and we shall derive both geometrical and topological results. Special attention will be paid to manifolds of dimension 3 as these are quite tractable. We then pass to the 4 dimensional setting as a gateway to higher dimensions. Since the book is aimed at a very general audience (and in particular to an advanced undergraduate or to a beginning graduate student), no more than a basic course in differential geometry is required in the way of background. To keep our treatment as self-contained as possible, we shall begin with two elementary chapters that provide an introduction to basic aspects of pseudo-Riemannian geometry before beginning on our study of Walker geometry. An extensive bibliography is provided for further reading. Math subject classifications : Primary: 53B20 -- (PACS: 02.40.Hw) Secondary: 32Q15, 51F25, 51P05, 53B30, 53C50, 53C80, 58A30, 83F05, 85A04Table of Contents: Basic Algebraic Notions / Basic Geometrical Notions / Walker Structures / Three-Dimensional Lorentzian Walker Manifolds / Four-Dimensional Walker Manifolds / The Spectral Geometry of the Curvature Tensor / Hermitian Geometry / Special Walker Manifolds, Englisch, Ebook.

Lieferung aus: Vereinigte Staaten von Amerika, In Stock.
Asymptotic-Formulae-in-Spectral-Geometry~~Peter-B-Gilkey, Asymptotic Formulae in Spectral Geometry, Hardcover.