Developments of harmonic maps, wave maps and Yang-Mills fields into biharmonic maps, biwave maps and bi-Yang-Mills fields
by Yuan-Jen Chiang
Harmonic maps between Riemannian manifolds were first established in 1964. Wave maps are harmonic maps on Minkowski spaces and have been studied since the 1990s. Yang-Mills fields, the critical points of Yang-Mills functionals of connections whose curvature tensors are harmonic, were explored by a few physicists in the 1950s, and biharmonic maps (generalizing harmonic maps) were introduced in 1986. The book presents an overview of the important developments made in these fields since they first came up. Furthermore, it introduces biwave maps (generalizing wave maps) which were first studied in 2009, and bi-Yang-Mills fields (generalizing Yang-Mills fields) first investigated in 2008. Other topics discussed are exponential harmonic maps, exponential wave maps and exponential Yang-Mills fields --
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Subjects
Harmonic maps, Yang-Mills theory, Functions, Quantum field theory, Partial Differential equations, Differential Geometry, Mathematics, Global analysis, Differential equations, partial, Global differential geometry, Mathematical optimization, Global Analysis and Analysis on Manifolds, Calculus of Variations and Optimal Control; Optimization, Several Complex Variables and Analytic Spaces| Edition | Availability |
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Developments of harmonic maps, wave maps and Yang-Mills fields into biharmonic maps, biwave maps and bi-Yang-Mills fields
2013, Birkhäuser/Springer
in English
3034805330 9783034805339
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Developments of Harmonic Maps, Wave Maps and Yang-Mills Fields into Biharmonic Maps, Biwave Maps and Bi-Yang-Mills Fields
2013, Birkhäuser Boston
in English
1299859240 9781299859241
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Edition Notes
"In memory of Professor James Eells and Professor Joseph H. Sampson.--[v.]
Includes bibliographical references (pages 379-395) and index.
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| September 16, 2024 | Edited by MARC Bot | import existing book |
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