Selected Topics in Harmonic Maps PDF Download
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Author: James Eells
Publisher: American Mathematical Soc.
ISBN: 0821807005
Category : Mathematics
Languages : en
Pages : 93
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Book Description
Gives an account of the various aspects of the theory of harmonic maps between Riemannian manifolds. This book presents an exposition of the qualitative aspects of harmonic maps. It also proposes certain unsolved problems, together with comments and references, which are of widely varying difficulty.
Author: James Eells
Publisher: American Mathematical Soc.
ISBN: 0821807005
Category : Mathematics
Languages : en
Pages : 93
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Book Description
Gives an account of the various aspects of the theory of harmonic maps between Riemannian manifolds. This book presents an exposition of the qualitative aspects of harmonic maps. It also proposes certain unsolved problems, together with comments and references, which are of widely varying difficulty.
Author: James Eells
Publisher: American Mathematical Soc.
ISBN: 9780821888957
Category : Mathematics
Languages : en
Pages : 108
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Book Description
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Book Description
Author: James Eells
Publisher:
ISBN: 9780821807002
Category : Geometry, Riemannian
Languages : en
Pages : 85
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Book Description
Author: James Eells
Publisher: World Scientific
ISBN: 9814506125
Category : Mathematics
Languages : en
Pages : 453
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Book Description
These original research papers, written during a period of over a quarter of a century, have two main objectives. The first is to lay the foundations of the theory of harmonic maps between Riemannian Manifolds, and the second to establish various existence and regularity theorems as well as the explicit constructions of such maps.
Author: James Eells
Publisher:
ISBN:
Category :
Languages : en
Pages : 153
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Book Description
Author: Jürgen Jost
Publisher: Springer
ISBN: 3540388680
Category : Mathematics
Languages : en
Pages : 143
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Book Description
Author: James Eells
Publisher: World Scientific
ISBN: 9789810207045
Category : Mathematics
Languages : en
Pages : 472
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Book Description
These original research papers, written during a period of over a quarter of a century, have two main objectives. The first is to lay the foundations of the theory of harmonic maps between Riemannian Manifolds, and the second to establish various existence and regularity theorems as well as the explicit constructions of such maps.
Author: Christopher Kum Anand
Publisher: CRC Press
ISBN: 9781584880325
Category : Mathematics
Languages : en
Pages : 332
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Book Description
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.
Author: Yuanlong Xin
Publisher: Springer Science & Business Media
ISBN: 9780817638207
Category : Mathematics
Languages : en
Pages : 264
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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.
