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Harmonic Maps

Harmonic Maps
Author: James Eells
Publisher: World Scientific
Total Pages: 472
Release: 1992
Genre: Mathematics
ISBN: 9789810207045

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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: Selected Papers By James Eells And Collaborators

Harmonic Maps: Selected Papers By James Eells And Collaborators
Author: James Eells
Publisher: World Scientific
Total Pages: 453
Release: 1992-08-21
Genre: Mathematics
ISBN: 9814506125

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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 and Differential Geometry

Harmonic Maps and Differential Geometry
Author: Eric Loubeau
Publisher: American Mathematical Soc.
Total Pages: 296
Release: 2011
Genre: Mathematics
ISBN: 0821849875

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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.


Harmonic Morphisms Between Riemannian Manifolds

Harmonic Morphisms Between Riemannian Manifolds
Author: Paul Baird
Publisher: Oxford University Press
Total Pages: 540
Release: 2003
Genre: Mathematics
ISBN: 9780198503620

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


Selected Topics in Harmonic Maps

Selected Topics in Harmonic Maps
Author: James Eells
Publisher: American Mathematical Soc.
Total Pages: 108
Release: 1983-01-01
Genre: Mathematics
ISBN: 9780821888957

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Noncommutative Geometry and Number Theory

Noncommutative Geometry and Number Theory
Author: Caterina Consani
Publisher: Springer Science & Business Media
Total Pages: 374
Release: 2007-12-18
Genre: Mathematics
ISBN: 3834803529

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In recent years, number theory and arithmetic geometry have been enriched by new techniques from noncommutative geometry, operator algebras, dynamical systems, and K-Theory. This volume collects and presents up-to-date research topics in arithmetic and noncommutative geometry and ideas from physics that point to possible new connections between the fields of number theory, algebraic geometry and noncommutative geometry. The articles collected in this volume present new noncommutative geometry perspectives on classical topics of number theory and arithmetic such as modular forms, class field theory, the theory of reductive p-adic groups, Shimura varieties, the local L-factors of arithmetic varieties. They also show how arithmetic appears naturally in noncommutative geometry and in physics, in the residues of Feynman graphs, in the properties of noncommutative tori, and in the quantum Hall effect.


Mathematical Reviews

Mathematical Reviews
Author:
Publisher:
Total Pages: 648
Release: 1993
Genre: Mathematics
ISBN:

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