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Harmonic Maps Between Surfaces

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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.

Harmonic Maps Between Surfaces

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Author : Jurgen Jost
language : en
Publisher:
Release Date : 2014-01-15

Harmonic Maps Between Surfaces written by Jurgen Jost and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.

Handbook Of Teichm Ller Theory

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Author : Athanase Papadopoulos
language : en
Publisher: European Mathematical Society
Release Date : 2007

Handbook Of Teichm Ller Theory written by Athanase Papadopoulos and has been published by European Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Mathematics categories.

The Teichmuller space of a surface was introduced by O. Teichmuller in the 1930s. It is a basic tool in the study of Riemann's moduli spaces and the mapping class groups. These objects are fundamental in several fields of mathematics, including algebraic geometry, number theory, topology, geometry, and dynamics. The original setting of Teichmuller theory is complex analysis. The work of Thurston in the 1970s brought techniques of hyperbolic geometry to the study of Teichmuller space and its asymptotic geometry. Teichmuller spaces are also studied from the point of view of the representation theory of the fundamental group of the surface in a Lie group $G$, most notably $G=\mathrm{PSL}(2,\mathbb{R})$ and $G=\mathrm{PSL}(2,\mathbb{C})$. In the 1980s, there evolved an essentially combinatorial treatment of the Teichmuller and moduli spaces involving techniques and ideas from high-energy physics, namely from string theory. The current research interests include the quantization of Teichmuller space, the Weil-Petersson symplectic and Poisson geometry of this space as well as gauge-theoretic extensions of these structures. The quantization theories can lead to new invariants of hyperbolic 3-manifolds. The purpose of this handbook is to give a panorama of some of the most important aspects of Teichmuller theory. The handbook should be useful to specialists in the field, to graduate students, and more generally to mathematicians who want to learn about the subject. All the chapters are self-contained and have a pedagogical character. They are written by leading experts in the subject.

Harmonic Maps Selected Papers By James Eells And Collaborators

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Author : James Eells
language : en
Publisher: World Scientific
Release Date : 1992-08-21

Harmonic Maps Selected Papers By James Eells And Collaborators 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 1992-08-21 with Mathematics categories.

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 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.

Harmonic Maps

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Author : James Eells
language : en
Publisher: World Scientific
Release Date : 1992

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 1992 with Mathematics categories.

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.

Harmonic Maps And Differential Geometry

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Author : Eric Loubeau
language : en
Publisher: American Mathematical Soc.
Release Date : 2011

Harmonic Maps And Differential Geometry written by Eric Loubeau and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Mathematics categories.

This volume contains the proceedings of a conference held in Cagliari, Italy, from September 7-10, 2009, to celebrate John C. Wood's 60th birthday. These papers reflect the many facets of the theory of harmonic maps and its links and connections with other topics in Differential and Riemannian Geometry. Two long reports, one on constant mean curvature surfaces by F. Pedit and the other on the construction of harmonic maps by J. C. Wood, open the proceedings. These are followed by a mix of surveys on Prof. Wood's area of expertise: Lagrangian surfaces, biharmonic maps, locally conformally Kahler manifolds and the DDVV conjecture, as well as several research papers on harmonic maps. Other research papers in the volume are devoted to Willmore surfaces, Goldstein-Pedrich flows, contact pairs, prescribed Ricci curvature, conformal fibrations, the Fadeev-Hopf model, the Compact Support Principle and the curvature of surfaces.

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.

Asymptotic Analysis For Sacks Uhlenbeck Alpha Harmonic Maps From Degenerating Riemann Surfaces

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Author : Lei Liu
language : en
Publisher: American Mathematical Society
Release Date : 2025-01-08

Asymptotic Analysis For Sacks Uhlenbeck Alpha Harmonic Maps From Degenerating Riemann Surfaces written by Lei Liu and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-01-08 with Mathematics categories.

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Harmonic Maps Between Surfaces

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