On the Existence of Harmonic Maps from a Surface Into the Real Projective Plane ; A Note on Harmonic Maps Between Surfaces

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ISBN 13 :
Total Pages : 13 pages
Book Rating : 4.:/5 (897 download)

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Book Synopsis On the Existence of Harmonic Maps from a Surface Into the Real Projective Plane ; A Note on Harmonic Maps Between Surfaces by : J. Jost

Download or read book On the Existence of Harmonic Maps from a Surface Into the Real Projective Plane ; A Note on Harmonic Maps Between Surfaces written by J. Jost and published by . This book was released on 1984 with total page 13 pages. Available in PDF, EPUB and Kindle. Book excerpt:

On the existence of harmonic maps from a surface into the real projective plane

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ISBN 13 :
Total Pages : 23 pages
Book Rating : 4.:/5 (75 download)

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Book Synopsis On the existence of harmonic maps from a surface into the real projective plane by : Jürgen Jost

Download or read book On the existence of harmonic maps from a surface into the real projective plane written by Jürgen Jost and published by . This book was released on 1984 with total page 23 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Two Reports On Harmonic Maps

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Publisher : World Scientific
ISBN 13 : 9814502928
Total Pages : 229 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Two Reports On Harmonic Maps by : James Eells

Download or read book Two Reports On Harmonic Maps written by James Eells and published by World Scientific. This book was released on 1995-03-29 with total page 229 pages. Available in PDF, EPUB and Kindle. Book excerpt: Harmonic maps between Riemannian manifolds are solutions of systems of nonlinear partial differential equations which appear in different contexts of differential geometry. They include holomorphic maps, minimal surfaces, σ-models in physics. Recently, they have become powerful tools in the study of global properties of Riemannian and Kählerian manifolds.A standard reference for this subject is a pair of Reports, published in 1978 and 1988 by James Eells and Luc Lemaire.This book presents these two reports in a single volume with a brief supplement reporting on some recent developments in the theory. It is both an introduction to the subject and a unique source of references, providing an organized exposition of results spread throughout more than 800 papers.

Harmonic Maps Between Surfaces

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Publisher : Springer
ISBN 13 : 3540388680
Total Pages : 143 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Harmonic Maps Between Surfaces by : Jürgen Jost

Download or read book Harmonic Maps Between Surfaces written by Jürgen Jost and published by Springer. This book was released on 2006-12-08 with total page 143 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Partial Differential Equations and Calculus of Variations

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Publisher : Springer
ISBN 13 : 3540460241
Total Pages : 433 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Partial Differential Equations and Calculus of Variations by : Stefan Hildebrandt

Download or read book Partial Differential Equations and Calculus of Variations written by Stefan Hildebrandt and published by Springer. This book was released on 2006-11-14 with total page 433 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains 18 invited papers by members and guests of the former Sonderforschungsbereich in Bonn (SFB 72) who, over the years, collaborated on the research group "Solution of PDE's and Calculus of Variations". The emphasis is on existence and regularity results, on special equations of mathematical physics and on scattering theory.

Harmonic Maps: Selected Papers By James Eells And Collaborators

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Publisher : World Scientific
ISBN 13 : 9814506125
Total Pages : 453 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Harmonic Maps: Selected Papers By James Eells And Collaborators by : James Eells

Download or read book Harmonic Maps: Selected Papers By James Eells And Collaborators written by James Eells and published by World Scientific. This book was released on 1992-08-21 with total page 453 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Harmonic Maps

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Publisher : World Scientific
ISBN 13 : 9789810207045
Total Pages : 472 pages
Book Rating : 4.2/5 (7 download)

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Book Synopsis Harmonic Maps by : James Eells

Download or read book Harmonic Maps written by James Eells and published by World Scientific. This book was released on 1992 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Selected Topics in Harmonic Maps

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Publisher : American Mathematical Soc.
ISBN 13 : 0821807005
Total Pages : 93 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Selected Topics in Harmonic Maps by : James Eells

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 with total page 93 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Analysis of Harmonic Maps and Their Heat Flows

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Publisher : World Scientific
ISBN 13 : 9812779523
Total Pages : 280 pages
Book Rating : 4.8/5 (127 download)

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Book Synopsis The Analysis of Harmonic Maps and Their Heat Flows by : Fanghua Lin

Download or read book The Analysis of Harmonic Maps and Their Heat Flows written by Fanghua Lin and published by World Scientific. This book was released on 2008 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains the proceedings of the Fourth Meeting on CPT and Lorentz Symmetry, held at Indiana University in Bloomington on August 8-11, 2007. The Meeting focused on experimental tests of these fundamental symmetries and on important theoretical issues, including scenarios for possible relativity violations. Experimental subjects covered include: astrophysical observations, clock-comparison measurements, cosmological birefringence, electromagnetic resonant cavities, gravitational tests, matter interferometry, muon behavior, neutrino oscillations, oscillations and decays of neutral mesons, particle-antiparticle comparisons, post-Newtonian gravity, space-based missions, spectroscopy of hydrogen and antihydrogen, and spin-polarized matter.Theoretical topics covered include: physical effects at the level of the Standard Model, General Relativity, and beyond; the possible origins and mechanisms for Lorentz and CPT violations; and associated issues in field theory, particle physics, gravity, and string theory. The contributors consist of the leading experts in this very active research field.

Two-Dimensional Geometric Variational Problems

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ISBN 13 :
Total Pages : 256 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Two-Dimensional Geometric Variational Problems by : Jürgen Jost

Download or read book Two-Dimensional Geometric Variational Problems written by Jürgen Jost and published by . This book was released on 1991-03-29 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph treats variational problems for mappings from a surface equipped with a conformal structure into Euclidean space or a Riemannian manifold. Presents a general theory of such variational problems, proving existence and regularity theorems with particular conceptual emphasis on the geometric aspects of the theory and thorough investigation of the connections with complex analysis. Among the topics covered are: Plateau's problem, the regularity theory of solutions, a variational approach for obtaining various conformal representation theorems, a general existence theorem for harmonic mappings, and a new approach to Teichmuller theory via harmonic maps.

The Existence of Harmonic Maps

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Publisher :
ISBN 13 :
Total Pages : 94 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis The Existence of Harmonic Maps by : Luc Lemaire

Download or read book The Existence of Harmonic Maps written by Luc Lemaire and published by . This book was released on 1985 with total page 94 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Developments of Harmonic Maps, Wave Maps and Yang-Mills Fields into Biharmonic Maps, Biwave Maps and Bi-Yang-Mills Fields

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Publisher : Springer Science & Business Media
ISBN 13 : 3034805349
Total Pages : 418 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Developments of Harmonic Maps, Wave Maps and Yang-Mills Fields into Biharmonic Maps, Biwave Maps and Bi-Yang-Mills Fields by : Yuan-Jen Chiang

Download or read book Developments of Harmonic Maps, Wave Maps and Yang-Mills Fields into Biharmonic Maps, Biwave Maps and Bi-Yang-Mills Fields written by Yuan-Jen Chiang and published by Springer Science & Business Media. This book was released on 2013-06-18 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: Harmonic maps between Riemannian manifolds were first established by James Eells and Joseph H. Sampson in 1964. Wave maps are harmonic maps on Minkowski spaces and have been studied since the 1990s. Yang-Mills fields, the critical points of Yang-Mills functionals of connections whose curvature tensors are harmonic, were explored by a few physicists in the 1950s, and biharmonic maps (generalizing harmonic maps) were introduced by Guoying Jiang in 1986. The book presents an overview of the important developments made in these fields since they first came up. Furthermore, it introduces biwave maps (generalizing wave maps) which were first studied by the author in 2009, and bi-Yang-Mills fields (generalizing Yang-Mills fields) first investigated by Toshiyuki Ichiyama, Jun-Ichi Inoguchi and Hajime Urakawa in 2008. Other topics discussed are exponential harmonic maps, exponential wave maps and exponential Yang-Mills fields.

Harmonic Mappings in the Plane

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Publisher : Cambridge University Press
ISBN 13 : 9781139451277
Total Pages : 236 pages
Book Rating : 4.4/5 (512 download)

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Book Synopsis Harmonic Mappings in the Plane by : Peter Duren

Download or read book Harmonic Mappings in the Plane written by Peter Duren and published by Cambridge University Press. This book was released on 2004-03-29 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: Harmonic mappings in the plane are univalent complex-valued harmonic functions of a complex variable. Conformal mappings are a special case where the real and imaginary parts are conjugate harmonic functions, satisfying the Cauchy-Riemann equations. Harmonic mappings were studied classically by differential geometers because they provide isothermal (or conformal) parameters for minimal surfaces. More recently they have been actively investigated by complex analysts as generalizations of univalent analytic functions, or conformal mappings. Many classical results of geometric function theory extend to harmonic mappings, but basic questions remain unresolved. This book is the first comprehensive account of the theory of planar harmonic mappings, treating both the generalizations of univalent analytic functions and the connections with minimal surfaces. Essentially self-contained, the book contains background material in complex analysis and a full development of the classical theory of minimal surfaces, including the Weierstrass-Enneper representation. It is designed to introduce non-specialists to a beautiful area of complex analysis and geometry.

Harmonic Maps Between Surfaces

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ISBN 13 : 9783662191675
Total Pages : 154 pages
Book Rating : 4.1/5 (916 download)

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Book Synopsis Harmonic Maps Between Surfaces by : Jurgen Jost

Download or read book Harmonic Maps Between Surfaces written by Jurgen Jost and published by . This book was released on 2014-01-15 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt:

On Harmonic Maps Into Conic Surfaces

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Publisher : Stanford University
ISBN 13 :
Total Pages : 133 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis On Harmonic Maps Into Conic Surfaces by : Jesse David Gell-Redman

Download or read book On Harmonic Maps Into Conic Surfaces written by Jesse David Gell-Redman and published by Stanford University. This book was released on 2011 with total page 133 pages. Available in PDF, EPUB and Kindle. Book excerpt: We prove the existence and uniqueness of harmonic maps in degree one homotopy classes of closed, orientable surfaces of positive genus, where the target has non-positive gauss curvature and conic points with cone angles less than $2\pi$. For a homeomorphism $w$ of such a surface, we prove existence and uniqueness of minimizers in the homotopy class of $w$ relative to the inverse images of the cone points with cone angles less than or equal to $\pi$. We show that such maps are homeomorphisms and that they depend smoothly on the target metric. For fixed geometric data, the space of minimizers in relative degree one homotopy classes is a complex manifold of (complex) dimension equal to the number of cone points with cone angles less than or equal to $\pi$. When the genus is zero, we prove the same relative minimization provided there are at least three cone points of cone angle less than or equal to $\pi$.

Lectures on Harmonic Maps

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Publisher : International Press of Boston
ISBN 13 :
Total Pages : 414 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Lectures on Harmonic Maps by : Richard M. Schoen

Download or read book Lectures on Harmonic Maps written by Richard M. Schoen and published by International Press of Boston. This book was released on 1997 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt: A presentation of research on harmonic maps, based on lectures given at the University of California, San Diego. Schoen has worked to use the Fells/Sampson theorem to reprove the rigidity theorem of Masfow and superrigidity theorem of Marqulis. Many of these developments are recorded here.

Mathematical Reviews

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Publisher :
ISBN 13 :
Total Pages : 820 pages
Book Rating : 4.X/5 (6 download)

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Book Synopsis Mathematical Reviews by :

Download or read book Mathematical Reviews written by and published by . This book was released on 2000 with total page 820 pages. Available in PDF, EPUB and Kindle. Book excerpt: