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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Developments of Harmonic Maps, Wave Maps and Yang-Mills Fields Into Biharmonic Maps, Biwave Maps and Bi-Yang-Mills Fields

Developments of Harmonic Maps, Wave Maps and Yang-Mills Fields Into Biharmonic Maps, Biwave Maps and Bi-Yang-Mills Fields

Chiang, Yuan-Jen

Paperback

Series: Frontiers in Mathematics, Book 0

CalculusGeneral MathematicsGeometry

ISBN10: 3034805330
ISBN13: 9783034805339
Publisher: Springer Nature
Published: Jun 28 2013
Pages: 399
Weight: 1.60
Height: 1.10 Width: 6.70 Depth: 9.40
Language: English
Harmonic maps between Riemannian manifolds were first established by James Eells and Joseph H. Sampson 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 by Guoying Jiang 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 by the author in 2009, and bi-Yang-Mills fields (generalizing Yang-Mills fields) first investigated by Toshiyuki Ichiyama, Jun-Ichi Inoguchi and Hajime Urakawa in 2008. Other topics discussed are exponential harmonic maps, exponential wave maps and exponential Yang-Mills fields.

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