Download or read book Harmonic Vector Fields written by Sorin Dragomir and published by Elsevier. This book was released on 2011-10-26 with total page 529 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Download or read book On Annihilators of Harmonic Vector Fields written by Björn Gustafsson and published by . This book was released on 1993 with total page 38 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Harmonic Vector Fields on Pseudo Riemannian Manifolds written by Robert Michael Friswell and published by . This book was released on 2014 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book An Approximation Theorem for Integrable Harmonic Vector Fields written by Björn Gustafsson and published by . This book was released on 1991 with total page 30 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Harmonic Vector Fields written by Nathan A. Clayton and published by CreateSpace. This book was released on 2015-08-17 with total page 110 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 [email protected]

Download or read book Geometry of Harmonic Maps written by Yuanlong Xin and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Higher Power Harmonic Unit Vector Fields on 3 dimensional Lie Groups written by and published by . This book was released on 2012 with total page 137 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Harmonic Maps and Integrable Systems written by John C. Wood and published by Springer-Verlag. This book was released on 2013-07-02 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Killing Vector Fields and Harmonic Forms written by Edward Thomas Wright and published by . This book was released on 1973 with total page 110 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Vector Field Approximation on Regular Surfaces written by Anna Luther and published by VDM Publishing. This book was released on 2008 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Partial Regularity for Harmonic Maps and Related Problems written by Roger Moser and published by World Scientific. This book was released on 2005 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book presents a collection of results pertaining to the partial regularity of solutions to various variational problems, all of which are connected to the Dirichlet energy of maps between Riemannian manifolds, and thus related to the harmonic map problem. The topics covered include harmonic maps and generalized harmonic maps; certain perturbed versions of the harmonic map equation; the harmonic map heat flow; and the Landau-Lifshitz (or Landau-Lifshitz-Gilbert) equation. Since the methods in regularity theory of harmonic maps are quite subtle, it is not immediately clear how they can be applied to certain problems that arise in applications. The book discusses in particular this question.

Download or read book Vector Fields of Bryant Type for Foliations and Harmonic Morphisms written by Mo Xiaohuan and published by . This book was released on 2001 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book New Developments in Differential Geometry Budapest 1996 written by J. Szenthe and published by Springer Science & Business Media. This book was released on 1999 with total page 542 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 36 lectures presented at the July 1996 conference all contain new developments in their respective subjects. Beyond the traditional differential geometry subjects, several popular ones such as Einstein manifolds and symplectic geometry are well represented. Subjects include almost Grassmann structures; harmonic maps between almost para-Hermitian manifolds; coeffective cohomology of quaternionic Kahler manifolds; time-dependent mechanical systems with non-linear constraints; the equation defining isothermic surfaces in Laguere geometry; optimal control problems on matrix Lie groups; and leaves of transversely affine foliations. No index. Annotation copyrighted by Book News, Inc., Portland, OR

Download or read book Selected Topics in Harmonic Maps written by James Eells and published by American Mathematical Soc.. This book was released on 1983-01-01 with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Harmonic Morphisms Harmonic Maps and Related Topics written by Christopher Kum Anand and published by CRC Press. This book was released on 1999-10-13 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: The subject of harmonic morphisms is relatively new but has attracted a huge worldwide following. Mathematicians, young researchers and distinguished experts came from all corners of the globe to the City of Brest - site of the first, international conference devoted to the fledgling but dynamic field of harmonic morphisms. Harmonic Morphisms, Harmonic Maps, and Related Topics reports the proceedings of that conference, forms the first work primarily devoted to harmonic morphisms, bringing together contributions from the founders of the subject, leading specialists, and experts in other related fields. Starting with "The Beginnings of Harmonic Morphisms," which provides the essential background, the first section includes papers on the stability of harmonic morphisms, global properties, harmonic polynomial morphisms, Bochner technique, f-structures, symplectic harmonic morphisms, and discrete harmonic morphisms. The second section addresses the wider domain of harmonic maps and contains some of the most recent results on harmonic maps and surfaces. The final section highlights the rapidly developing subject of constant mean curvature surfaces. Harmonic Morphisms, Harmonic Maps, and Related Topics offers a coherent, balanced account of this fast-growing subject that furnishes a vital reference for anyone working in the field.

Download or read book Harmonic Function Theory written by Sheldon Axler and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is about harmonic functions in Euclidean space. This new edition contains a completely rewritten chapter on spherical harmonics, a new section on extensions of Bochers Theorem, new exercises and proofs, as well as revisions throughout to improve the text. A unique software package supplements the text for readers who wish to explore harmonic function theory on a computer.

Download or read book Plane Vector Fields written by Mark Aleksandrovich Krasnoselʹskiĭ and published by . This book was released on 1966 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: