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Author: Enrico Giusti
Publisher: Springer
ISBN: 3540397167
Category : Mathematics
Languages : en
Pages : 295
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Book Description
Author: Enrico Giusti
Publisher: Springer
ISBN: 3540397167
Category : Mathematics
Languages : en
Pages : 295
Get Book Here
Book Description
Author: James Eells
Publisher: Princeton University Press
ISBN: 9780691102498
Category : Mathematics
Languages : en
Pages : 238
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Book Description
The aim of this book is to study harmonic maps, minimal and parallel mean curvature immersions in the presence of symmetry. In several instances, the latter permits reduction of the original elliptic variational problem to the qualitative study of certain ordinary differential equations: the authors' primary objective is to provide representative examples to illustrate these reduction methods and their associated analysis with geometric and topological applications. The material covered by the book displays a solid interplay involving geometry, analysis and topology: in particular, it includes a basic presentation of 1-cohomogeneous equivariant differential geometry and of the theory of harmonic maps between spheres.
Author: James Eells
Publisher: Princeton University Press
ISBN: 1400882508
Category : Mathematics
Languages : en
Pages : 235
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Book Description
The aim of this book is to study harmonic maps, minimal and parallel mean curvature immersions in the presence of symmetry. In several instances, the latter permits reduction of the original elliptic variational problem to the qualitative study of certain ordinary differential equations: the authors' primary objective is to provide representative examples to illustrate these reduction methods and their associated analysis with geometric and topological applications. The material covered by the book displays a solid interplay involving geometry, analysis and topology: in particular, it includes a basic presentation of 1-cohomogeneous equivariant differential geometry and of the theory of harmonic maps between spheres.
Author: Richard Schoen
Publisher:
ISBN: 9781571462602
Category :
Languages : en
Pages : 394
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Book Description
Author: Mariano Giaquinta
Publisher: Springer Science & Business Media
ISBN: 9783540640097
Category : Mathematics
Languages : en
Pages : 744
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Book Description
This monograph (in two volumes) deals with non scalar variational problems arising in geometry, as harmonic mappings between Riemannian manifolds and minimal graphs, and in physics, as stable equilibrium configuations in nonlinear elasticity or for liquid crystals. The presentation is selfcontained and accessible to non specialists. Topics are treated as far as possible in an elementary way, illustrating results with simple examples; in principle, chapters and even sections are readable independently of the general context, so that parts can be easily used for graduate courses. Open questions are often mentioned and the final section of each chapter discusses references to the literature and sometimes supplementary results. Finally, a detailed Table of Contents and an extensive Index are of help to consult this monograph
Author: Enrico Bombieri
Publisher: Princeton University Press
ISBN: 1400881439
Category : Mathematics
Languages : en
Pages : 368
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Book Description
The description for this book, Seminar On Minimal Submanifolds. (AM-103), Volume 103, will be forthcoming.
Author: Paul Gauduchon
Publisher: World Scientific
ISBN: 9813201487
Category : Mathematics
Languages : en
Pages : 390
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Book Description
Harmonic mappings have played in recent years and will likely to play in the future an important role in Differential Geometry and Theoretical Physics, where they are known as s-models. These Proceedings develop both aspects of the theory, with a special attention to the constructive methods, in particular the so-called twistorial approach. It includes expository articles on the twistorial methods, the various appearence of σ-models in Physics, the powerful analytic theory of regularity of SCHOEN-UHLENBECK.
Author: Vladimir Oliker
Publisher: American Mathematical Soc.
ISBN: 0821851357
Category : Mathematics
Languages : en
Pages : 166
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Book Description
This volume contains the proceedings of an AMS Special Session on Geometry, Physics, and Nonlinear PDEs, The conference brought together specialists in Monge-Ampere equations, prescribed curvature problems, mean curvature, harmonic maps, evolution with curvature-dependent speed, isospectral manifolds, and general relativity. An excellent overview of the frontiers of research in these areas.
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: Robert Everist Greene
Publisher: American Mathematical Soc.
ISBN: 082181494X
Category : Mathematics
Languages : en
Pages : 585
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Book Description
The first of three parts comprising Volume 54, the proceedings of the Summer Research Institute on Differential Geometry, held at the University of California, Los Angeles, July 1990 (ISBN for the set is 0-8218-1493-1). Part 1 begins with a problem list by S.T. Yau, successor to his 1980 list ( Sem
