Harmonic Mappings Between Riemannian Manifolds PDF Download

Author: Jürgen Jost
Publisher:
ISBN:
Category : Conformal mapping
Languages : en
Pages : 192

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

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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: Cambridge University Press
ISBN: 9780521773119
Category : Mathematics
Languages : en
Pages : 316

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

Author: Anand Arvind Joshi
Publisher:
ISBN:
Category :
Languages : en
Pages : 106

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

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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: Fanghua Lin
Publisher: World Scientific
ISBN: 9814472247
Category : Mathematics
Languages : en
Pages : 280

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Book Description
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.

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: Paul Baird
Publisher: Oxford University Press
ISBN: 9780198503620
Category : Mathematics
Languages : en
Pages : 540

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Book Description
This is an account in book form of the theory of harmonic morphisms between Riemannian manifolds.

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: American Mathematical Soc.
ISBN: 9780821888957
Category : Mathematics
Languages : en
Pages : 108

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Book Description