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Developments of Harmonic Maps, Wave Maps and Yang-Mills Fields into Biharmonic Maps, Biwave Maps and Bi-Yang-Mills Fields
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Catalogue Information
Nome campo
dettagli
Dewey Class
514.74
Titolo
Developments of Harmonic Maps, Wave Maps and Yang-Mills Fields into Biharmonic Maps, Biwave Maps and Bi-Yang-Mills Fields ([Ebook]) / by Yuan-Jen Chiang.
Autore
Chiang, Yuan-Jen
Other name(s)
SpringerLink (Online service)
Pubblicazione
Basel : Birkhäuser
, 2013.
Physical Details
XXI, 399 pages:. 9 illus., 1 illus. in color. : online resource.
Serie
Frontiers in Mathematics
1660-8046
ISBN
9783034805346
Summary Note
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.:
Contents note
Preface. 1 Harmonic Maps -- 2 Wave Maps.-3 Yang-Mills Fields -- 4 Biharmonic Maps -- 5 Biwave Maps -- 6 Bi-Yang-Mills Fields.-7 Exponential Harmonic Maps.-8 Exponential Wave Maps -- 9. Exponential Yang-Mills Connections -- Index.  .
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site
http://dx.doi.org/10.1007/978-3-0348-0534-6
Link alle Opere Legate
Riferimenti soggetto:
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Calculus of variations and optimal control; optimization
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Differential equations, Partial
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Differential Geometry
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Global analysis
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Global Analysis and Analysis on Manifolds
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Global differential geometry
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Mathematical optimization
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Partial differential equations
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Several Complex Variables and Analytic Spaces
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Authors:
Chiang, Yuan-Jen
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Corporate Authors:
SpringerLink (Online service)
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Series:
Frontiers in Mathematics
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Classification:
514.74
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514.74 (DDC 23)
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