Harmonic Maps Into Homogeneous Spaces

Nonfiction, Science & Nature, Mathematics, Differential Equations
Cover of the book Harmonic Maps Into Homogeneous Spaces by Malcolm Black, CRC Press
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Malcolm Black ISBN: 9781351441612
Publisher: CRC Press Publication: May 4, 2018
Imprint: Routledge Language: English
Author: Malcolm Black
ISBN: 9781351441612
Publisher: CRC Press
Publication: May 4, 2018
Imprint: Routledge
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from CRC Press

Cover of the book Priority Setting Processes for Healthcare by Malcolm Black
Cover of the book Emerging Wireless Networks by Malcolm Black
Cover of the book Practical Longitudinal Data Analysis by Malcolm Black
Cover of the book Handbook of Optical Metrology by Malcolm Black
Cover of the book Making Sense of Public Health Medicine by Malcolm Black
Cover of the book Food Safety and Protection by Malcolm Black
Cover of the book Nematodes for Biological Control of Insects by Malcolm Black
Cover of the book Recent Developments in Separation Science by Malcolm Black
Cover of the book Handbook of Electrical Hazards and Accidents by Malcolm Black
Cover of the book Integration Technologies for Industrial Automated Systems by Malcolm Black
Cover of the book Hybrid Modeling in Process Industries by Malcolm Black
Cover of the book X-Ray Diffraction Imaging by Malcolm Black
Cover of the book Point-of-Use/Point-of-Entry for Drinking Water Treatment by Malcolm Black
Cover of the book User Interface Design by Malcolm Black
Cover of the book Crowd Assisted Networking and Computing by Malcolm Black
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy