Harmonic Maps of Manifolds with Boundary PDF Download

Author: R.S. Hamilton
Publisher: Springer
ISBN: 3540375309
Category : Mathematics
Languages : en
Pages : 175

View

Book Description

Author: Richard S. Hamilton
Publisher: Springer
ISBN: 9780387071855
Category : Analyse des variétés (Mathématiques)
Languages : en
Pages : 168

View

Book Description

Author: James Eells
Publisher: World Scientific
ISBN: 9789810214661
Category : Mathematics
Languages : en
Pages : 38

View

Book Description
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, å-models in physics. Recently, they have become powerful tools in the study of global properties of Riemannian and K„hlerian 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.

Author: James Eells
Publisher: American Mathematical Soc.
ISBN: 0821807005
Category : Mathematics
Languages : en
Pages : 93

View

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: D. E. Blair
Publisher: Springer
ISBN: 3540381546
Category : Mathematics
Languages : en
Pages : 153

View

Book Description

Author: Yuanlong Xin
Publisher: Springer Science & Business Media
ISBN: 9780817638207
Category : Mathematics
Languages : en
Pages : 264

View

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.

Author: Richard M. Schoen
Publisher: International Press of Boston
ISBN:
Category : Mathematics
Languages : en
Pages : 414

View

Book Description
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.

Author: Fanghua Lin
Publisher: World Scientific
ISBN: 9812779523
Category : Science
Languages : en
Pages : 280

View

Book Description
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.

Author: Jürgen Jost
Publisher: Springer
ISBN: 3540388680
Category : Mathematics
Languages : en
Pages : 143

View

Book Description

Author: James Eells
Publisher: Cambridge University Press
ISBN: 9780521773119
Category : Mathematics
Languages : en
Pages : 316

View

Book Description
A research level book on harmonic maps between singular spaces, by renowned authors, first published in 2001.