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Author: Malcolm Black
Publisher: Routledge
ISBN: 1351441612
Category : Mathematics
Languages : en
Pages : 108
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Book Description
Harmonic maps and the related theory of minimal surfaces are variational problems of long standing in differential geometry. Many important advances have been made in understanding harmonic maps of Riemann surfaces into symmetric spaces. In particular, ""twistor methods"" construct some, and in certain cases all, such mappings from holomorphic data. These notes develop techniques applicable to more general homogeneous manifolds, in particular a very general twistor result is proved. When applied to flag manifolds, this wider viewpoint allows many of the previously unrelated twistor results for symmetric spaces to be brought into a unified framework. These methods also enable a classification of harmonic maps into full flag manifolds to be established, and new examples are constructed. The techniques used are mostly a blend of the theory of compact Lie groups and complex differential geometry. This book should be of interest to mathematicians with experience in differential geometry and to theoretical physicists.
Author: Malcolm Black
Publisher: Routledge
ISBN: 1351441612
Category : Mathematics
Languages : en
Pages : 108
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Book Description
Harmonic maps and the related theory of minimal surfaces are variational problems of long standing in differential geometry. Many important advances have been made in understanding harmonic maps of Riemann surfaces into symmetric spaces. In particular, ""twistor methods"" construct some, and in certain cases all, such mappings from holomorphic data. These notes develop techniques applicable to more general homogeneous manifolds, in particular a very general twistor result is proved. When applied to flag manifolds, this wider viewpoint allows many of the previously unrelated twistor results for symmetric spaces to be brought into a unified framework. These methods also enable a classification of harmonic maps into full flag manifolds to be established, and new examples are constructed. The techniques used are mostly a blend of the theory of compact Lie groups and complex differential geometry. This book should be of interest to mathematicians with experience in differential geometry and to theoretical physicists.
Author: John C. Wood
Publisher: Springer-Verlag
ISBN: 366314092X
Category : Mathematics
Languages : de
Pages : 328
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Book Description
Author: Jürgen Jost
Publisher: Springer
ISBN: 3540388680
Category : Mathematics
Languages : en
Pages : 143
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Book Description
Author: Fanghua Lin
Publisher: World Scientific
ISBN: 9812779531
Category : Mathematics
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: Richard Schoen
Publisher:
ISBN: 9781571462602
Category :
Languages : en
Pages : 394
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Book Description
Author: Sigurdur Helgason
Publisher: Birkhauser
ISBN:
Category : Mathematics
Languages : en
Pages : 160
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Book Description
Author: Martin A. Guest
Publisher: Cambridge University Press
ISBN: 9780521589321
Category : Mathematics
Languages : en
Pages : 202
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Book Description
Harmonic maps are generalisations of the concept of geodesics. They encompass many fundamental examples in differential geometry and have recently become of widespread use in many areas of mathematics and mathematical physics. This is an accessible introduction to some of the fundamental connections between differential geometry, Lie groups, and integrable Hamiltonian systems. The specific goal of the book is to show how the theory of loop groups can be used to study harmonic maps. By concentrating on the main ideas and examples, the author leads up to topics of current research. The book is suitable for students who are beginning to study manifolds and Lie groups, and should be of interest both to mathematicians and to theoretical physicists.
Author: Sadettin Erdem
Publisher:
ISBN:
Category :
Languages : en
Pages : 236
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Book Description
Author: Caio J. Negreiros
Publisher:
ISBN:
Category :
Languages : en
Pages : 18
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Book Description
Author: Yoshihiro Ohnita
Publisher:
ISBN:
Category :
Languages : en
Pages : 53
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Book Description
