The Dirichlet Problem For Harmonic Maps From Surfaces
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The Dirichlet Problem For Harmonic Maps From Surfaces
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Author : Jie Qing
language : en
Publisher:
Release Date : 1993
The Dirichlet Problem For Harmonic Maps From Surfaces written by Jie Qing and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Dirichlet problem categories.
On Harmonic Maps Into Conic Surfaces
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Author : Jesse David Gell-Redman
language : en
Publisher: Stanford University
Release Date : 2011
On Harmonic Maps Into Conic Surfaces written by Jesse David Gell-Redman and has been published by Stanford University this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with categories.
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 $\pi$.
Harmonic Maps Between Surfaces
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Author : Jürgen Jost
language : en
Publisher: Springer
Release Date : 2006-12-08
Harmonic Maps Between Surfaces written by Jürgen Jost and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-12-08 with Mathematics categories.
Two Reports On Harmonic Maps
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Author : James Eells
language : en
Publisher: World Scientific
Release Date : 1995-03-29
Two Reports On Harmonic Maps written by James Eells and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-03-29 with Mathematics categories.
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 Morphisms Harmonic Maps And Related Topics
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Author : Christopher Kum Anand
language : en
Publisher: CRC Press
Release Date : 1999-10-13
Harmonic Morphisms Harmonic Maps And Related Topics written by Christopher Kum Anand and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-10-13 with Mathematics categories.
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.
Harmonic Mappings And Minimal Immersion
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Author : Enrico Giusti
language : en
Publisher: Springer
Release Date : 2006-11-14
Harmonic Mappings And Minimal Immersion written by Enrico Giusti and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.
The Dirichlet Problem For Harmonic Maps From A Surface With Boundary Onto A 2 Sphere With Non Constant Boundary Values
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Author : Jürgen Jost
language : de
Publisher:
Release Date : 1983
The Dirichlet Problem For Harmonic Maps From A Surface With Boundary Onto A 2 Sphere With Non Constant Boundary Values written by Jürgen Jost and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983 with categories.
Harmonic Maps Conservation Laws And Moving Frames
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Author : Frédéric Hélein
language : en
Publisher: Cambridge University Press
Release Date : 2002-06-13
Harmonic Maps Conservation Laws And Moving Frames written by Frédéric Hélein and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-06-13 with Mathematics categories.
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The Analysis Of Harmonic Maps And Their Heat Flows
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Author : Fanghua Lin
language : en
Publisher: World Scientific
Release Date : 2008-05-23
The Analysis Of Harmonic Maps And Their Heat Flows written by Fanghua Lin and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-05-23 with Mathematics categories.
This book provides a broad yet comprehensive introduction to the analysis of harmonic maps and their heat flows. The first part of the book contains many important theorems on the regularity of minimizing harmonic maps by Schoen-Uhlenbeck, stationary harmonic maps between Riemannian manifolds in higher dimensions by Evans and Bethuel, and weakly harmonic maps from Riemannian surfaces by Helein, as well as on the structure of a singular set of minimizing harmonic maps and stationary harmonic maps by Simon and Lin. The second part of the book contains a systematic coverage of heat flow of harmonic maps that includes Eells-Sampson's theorem on global smooth solutions, Struwe's almost regular solutions in dimension two, Sacks-Uhlenbeck's blow-up analysis in dimension two, Chen-Struwe's existence theorem on partially smooth solutions, and blow-up analysis in higher dimensions by Lin and Wang.The book can be used as a textbook for the topic course of advanced graduate students and for researchers who are interested in geometric partial differential equations and geometric analysis.
Developments Of Harmonic Maps Wave Maps And Yang Mills Fields Into Biharmonic Maps Biwave Maps And Bi Yang Mills Fields
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Author : Yuan-Jen Chiang
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-18
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 has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-18 with Mathematics categories.
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.