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Field name	Details
Dewey Class	514.74
Title	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.
Author	Chiang, Yuan-Jen
Other name(s)	SpringerLink (Online service)
Publication	Basel : Birkhäuser
Publication	, 2013.
Physical Details	XXI, 399 pages:. 9 illus., 1 illus. in color. : online resource.
Series	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 introducedÂ in 1986. The book presents an overview of the important developments madeÂ in these fields since they first came up. Furthermore,Â it introduces biwave maps (generalizing wave maps) which were first studiedÂ in 2009, and bi-Yang-Mills fields (generalizing Yang-Mills fields) first investigated in 2008. Other topicsÂ 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.Â Exponential Yang-Mills Connections -- Index. Â .
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
Links to Related Works	Subject References: Calculus of variations and optimal control; optimization . Differential equations, Partial . Differential Geometry . Global analysis . Global Analysis and Analysis on Manifolds . Global differential geometry . Mathematical optimization . Partial differential equations . Several Complex Variables and Analytic Spaces . Authors: Chiang, Yuan-Jen . Corporate Authors: SpringerLink (Online service) . Series: Frontiers in Mathematics . Classification: 514.74 . 514.74 (DDC 23) .

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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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