Lecture Notes on the Geometry of Manifolds (Hardcover)

The object of this book is to introduce the reader to some of the most important techniques of modern global geometry. It mainly deals with global questions and in particular the interdependence of geometry and topology, global and local. Algebraico-topological techniques are developed in the special context of smooth manifolds. The book discusses the DeRham cohomology and its ramifications: Poincare, duality, intersection theory, degree theory, Thom isomorphism, characteristic classes, Gauss-Bonnet etc. The authors seek to calculate the cohomology groups of as many as possible concrete examples without relying on the apparatus of homotopy theory (CW-complexes etc). Elliptic partial differential equations are also featured, requiring a familiarity with functional analysis. It describes the proofs of elliptic Lp and Holder estimates (assuming some deep results of harmonic analysis) for arbitrary elliptic operators with smooth coefficients. The book closes with alook at a class of elliptic operators, the Dirac operators. It discusses their algebraic structure in some detail, Weizenbock formulae and many concrete examples.

General

Imprint:	World Scientific Publishing Co Pte Ltd
Country of origin:	Singapore
Release date:	1996
First published:	November 1996
Authors:	Liviu I. Nicolaescu
Dimensions:	230 x 162 x 31mm (L x W x T)
Format:	Hardcover
Pages:	500
ISBN-13:	978-981-02-2836-1
Categories:	Books > Science & Mathematics > Mathematics > Geometry > Differential & Riemannian geometry Promotions
LSN:	981-02-2836-8
Barcode:	9789810228361

Is the information for this product incomplete, wrong or inappropriate? Let us know about it.

Does this product have an incorrect or missing image? Send us a new image.

Is this product missing categories? Add more categories.

Review This Product

No reviews yet - be the first to create one!