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Killing Vector Fields and Harmonic Forms

Killing Vector Fields and Harmonic Forms PDF Author: Edward Thomas Wright
Publisher:
ISBN:
Category :
Languages : en
Pages : 110

Book Description

Killing Vector Fields and Harmonic Forms

Killing Vector Fields and Harmonic Forms PDF Author: Edward Thomas Wright
Publisher:
ISBN:
Category :
Languages : en
Pages : 110

Book Description

Harmonic Vector Fields

Harmonic Vector Fields PDF Author: Sorin Dragomir
Publisher: Elsevier
ISBN: 0124158269
Category : Computers
Languages : en
Pages : 529

Book Description
An excellent reference for anyone needing to examine properties of harmonic vector fields to help them solve research problems. The book provides the main results of harmonic vector ?elds with an emphasis on Riemannian manifolds using past and existing problems to assist you in analyzing and furnishing your own conclusion for further research. It emphasizes a combination of theoretical development with practical applications for a solid treatment of the subject useful to those new to research using differential geometric methods in extensive detail. A useful tool for any scientist conducting research in the field of harmonic analysis Provides applications and modern techniques to problem solving A clear and concise exposition of differential geometry of harmonic vector fields on Reimannian manifolds Physical Applications of Geometric Methods

Einstein Manifolds

Einstein Manifolds PDF Author: Arthur L. Besse
Publisher: Springer Science & Business Media
ISBN: 3540741208
Category : Mathematics
Languages : en
Pages : 529

Book Description
Einstein's equations stem from General Relativity. In the context of Riemannian manifolds, an independent mathematical theory has developed around them. This is the first book which presents an overview of several striking results ensuing from the examination of Einstein’s equations in the context of Riemannian manifolds. Parts of the text can be used as an introduction to modern Riemannian geometry through topics like homogeneous spaces, submersions, or Riemannian functionals.

Collected Papers of Yoz“ Matsushima

Collected Papers of Yoz“ Matsushima PDF Author: Yoz? Matsushima
Publisher: World Scientific
ISBN: 9789810208141
Category : Mathematics
Languages : en
Pages : 788

Book Description
In the past thirty years, differential geometry has undergone an enormous change with infusion of topology, Lie theory, complex analysis, algebraic geometry and partial differential equations. Professor Matsushima played a leading role in this transformation by bringing new techniques of Lie groups and Lie algebras into the study of real and complex manifolds. This volume is a collection of all the 46 papers written by him.

Differential Geometry and Differential Equations

Differential Geometry and Differential Equations PDF Author: Chaohao Gu
Publisher: Springer
ISBN: 3540478833
Category : Mathematics
Languages : en
Pages : 259

Book Description
The DD6 Symposium was, like its predecessors DD1 to DD5 both a research symposium and a summer seminar and concentrated on differential geometry. This volume contains a selection of the invited papers and some additional contributions. They cover recent advances and principal trends in current research in differential geometry.

Cohomology and Differential Forms

Cohomology and Differential Forms PDF Author: Izu Vaisman
Publisher: Courier Dover Publications
ISBN: 0486815129
Category : Mathematics
Languages : en
Pages : 305

Book Description
Self-contained development of cohomological theory of manifolds with various sheaves and its application to differential geometry covers categories and functions, sheaves and cohomology, fiber and vector bundles, and cohomology classes and differential forms. 1973 edition.

Tensor

Tensor PDF Author:
Publisher:
ISBN:
Category : Calculus of tensors
Languages : en
Pages : 340

Book Description

Quaternionic Structures in Mathematics and Physics

Quaternionic Structures in Mathematics and Physics PDF Author: Stefano Marchiafava
Publisher: World Scientific
ISBN: 9810246307
Category : Mathematics
Languages : en
Pages : 486

Book Description
During the last five years, after the first meeting on ?Quaternionic Structures in Mathematics and Physics?, interest in quaternionic geometry and its applications has continued to increase. Progress has been made in constructing new classes of manifolds with quaternionic structures (quaternionic K„hler, hyper-K„hler, hyper-complex, etc.), studying the differential geometry of special classes of such manifolds and their submanifolds, understanding relations between the quaternionic structure and other differential-geometric structures, and also in physical applications of quaternionic geometry. Some generalizations of classical quaternion-like structures (like HKT structures and hyper-K„hler manifolds with singularities) appeared naturally and were studied. Some of those results are published in this book.

Harmonic and Minimal Maps

Harmonic and Minimal Maps PDF Author: Gábor Tóth
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 360

Book Description

Harmonic Morphisms Between Riemannian Manifolds

Harmonic Morphisms Between Riemannian Manifolds PDF Author: Paul Baird
Publisher: Oxford University Press
ISBN: 9780198503620
Category : Mathematics
Languages : en
Pages : 540

Book Description
This is an account in book form of the theory of harmonic morphisms between Riemannian manifolds.
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