Harmonic Vector Fields PDF Download
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Author: Sorin Dragomir
Publisher: Elsevier
ISBN: 0124158269
Category : Computers
Languages : en
Pages : 529
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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
Author: Sorin Dragomir
Publisher: Elsevier
ISBN: 0124158269
Category : Computers
Languages : en
Pages : 529
Get Book Here
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
Author: Björn Gustafsson
Publisher:
ISBN:
Category :
Languages : en
Pages : 38
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Book Description
Author: Björn Gustafsson
Publisher:
ISBN:
Category :
Languages : en
Pages : 30
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Book Description
Author: Robert Michael Friswell
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Author: Nathan A. Clayton
Publisher: CreateSpace
ISBN: 9781516929467
Category :
Languages : en
Pages : 110
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Book Description
This updated and expanded second edition of the Harmonic Vector Fields: Variational Principles and Differential Geometry provides a user-friendly introduction to the subject, Taking a clear structural framework, it guides the reader through the subject's core elements. A flowing writing style combines with the use of illustrations and diagrams throughout the text to ensure the reader understands even the most complex of concepts. This succinct and enlightening overview is a required reading for all those interested in the subject . We hope you find this book useful in shaping your future career & Business. Feel free to send us your inquiries related to our publications to
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Author: Yuanlong Xin
Publisher: Springer Science & Business Media
ISBN: 1461240840
Category : Mathematics
Languages : en
Pages : 252
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Book Description
Harmonic maps are solutions to a natural geometrical variational prob lem. This notion grew out of essential notions in differential geometry, such as geodesics, minimal surfaces and harmonic functions. Harmonic maps are also closely related to holomorphic maps in several complex variables, to the theory of stochastic processes, to nonlinear field theory in theoretical physics, and to the theory of liquid crystals in materials science. During the past thirty years this subject has been developed extensively. The monograph is by no means intended to give a complete description of the theory of harmonic maps. For example, the book excludes a large part of the theory of harmonic maps from 2-dimensional domains, where the methods are quite different from those discussed here. The first chapter consists of introductory material. Several equivalent definitions of harmonic maps are described, and interesting examples are presented. Various important properties and formulas are derived. Among them are Bochner-type formula for the energy density and the second varia tional formula. This chapter serves not only as a basis for the later chapters, but also as a brief introduction to the theory. Chapter 2 is devoted to the conservation law of harmonic maps. Em phasis is placed on applications of conservation law to the mono tonicity formula and Liouville-type theorems.
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 137
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Book Description
Author: John C. Wood
Publisher: Springer-Verlag
ISBN: 366314092X
Category : Mathematics
Languages : de
Pages : 328
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Book Description
Author: Edward Thomas Wright
Publisher:
ISBN:
Category :
Languages : en
Pages : 110
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Book Description
Author: James Eells
Publisher: American Mathematical Soc.
ISBN: 9780821888957
Category : Mathematics
Languages : en
Pages : 108
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Book Description
