By Yuan Chiang

Harmonic maps among Riemannian manifolds have been first verified by means of James Eells and Joseph H. Sampson in 1964. Wave maps are harmonic maps on Minkowski areas and feature been studied because the Nineteen Nineties. Yang-Mills fields, the serious issues of Yang-Mills functionals of connections whose curvature tensors are harmonic, have been explored via a couple of physicists within the Fifties, and biharmonic maps (generalizing harmonic maps) have been brought via Guoying Jiang in 1986. The ebook offers an summary of the $64000 advancements made in those fields when you consider that they first got here up. Furthermore, it introduces biwave maps (generalizing wave maps) which have been first studied by way of the writer in 2009, and bi-Yang-Mills fields (generalizing Yang-Mills fields) first investigated by means of Toshiyuki Ichiyama, Jun-Ichi Inoguchi and Hajime Urakawa in 2008. different topics discussed are exponential harmonic maps, exponential wave maps and exponential Yang-Mills fields.

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Developments of Harmonic Maps, Wave Maps and Yang-Mills Fields into Biharmonic Maps, Biwave Maps and Bi-Yang-Mills Fields (Frontiers in Mathematics) by Yuan Chiang


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