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Harmonic Morphisms, Harmonic Maps and Related Topics

1999-10-13 Mathematics
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Release : 1999-10-13
Genre : Mathematics
Kind : eBook
Book Rating : 325/5 ( reviews)

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Book Synopsis Harmonic Morphisms, Harmonic Maps and Related Topics by : Christopher Kum Anand

Download or read book Harmonic Morphisms, Harmonic Maps and Related Topics written by Christopher Kum Anand. This book was released on 1999-10-13. Available in PDF, EPUB and Kindle. Book excerpt: The subject of harmonic morphisms is relatively new but has attracted a huge worldwide following. Mathematicians, young researchers and distinguished experts came from all corners of the globe to the City of Brest - site of the first, international conference devoted to the fledgling but dynamic field of harmonic morphisms. Harmonic Morphisms, Harmonic Maps, and Related Topics reports the proceedings of that conference, forms the first work primarily devoted to harmonic morphisms, bringing together contributions from the founders of the subject, leading specialists, and experts in other related fields. Starting with "The Beginnings of Harmonic Morphisms," which provides the essential background, the first section includes papers on the stability of harmonic morphisms, global properties, harmonic polynomial morphisms, Bochner technique, f-structures, symplectic harmonic morphisms, and discrete harmonic morphisms. The second section addresses the wider domain of harmonic maps and contains some of the most recent results on harmonic maps and surfaces. The final section highlights the rapidly developing subject of constant mean curvature surfaces. Harmonic Morphisms, Harmonic Maps, and Related Topics offers a coherent, balanced account of this fast-growing subject that furnishes a vital reference for anyone working in the field.

Harmonic Morphisms, Harmonic Maps and Related Topics

1999-02-01
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Release : 1999-02-01
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Kind : eBook
Book Rating : 711/5 ( reviews)

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Book Synopsis Harmonic Morphisms, Harmonic Maps and Related Topics by : C Anand

Download or read book Harmonic Morphisms, Harmonic Maps and Related Topics written by C Anand. This book was released on 1999-02-01. Available in PDF, EPUB and Kindle. Book excerpt:

Selected Topics in Harmonic Maps

1983 Mathematics
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Release : 1983
Genre : Mathematics
Kind : eBook
Book Rating : 005/5 ( reviews)

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Book Synopsis Selected Topics in Harmonic Maps by : James Eells

Download or read book Selected Topics in Harmonic Maps written by James Eells. This book was released on 1983. Available in PDF, EPUB and Kindle. Book excerpt: Gives an account of the various aspects of the theory of harmonic maps between Riemannian manifolds. This book presents an exposition of the qualitative aspects of harmonic maps. It also proposes certain unsolved problems, together with comments and references, which are of widely varying difficulty.

Harmonic Maps with Symmetry, Harmonic Morphisms, and Deformations of Metrics

1983 Mathematics
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Release : 1983
Genre : Mathematics
Kind : eBook
Book Rating : /5 ( reviews)

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Book Synopsis Harmonic Maps with Symmetry, Harmonic Morphisms, and Deformations of Metrics by : Paul Baird

Download or read book Harmonic Maps with Symmetry, Harmonic Morphisms, and Deformations of Metrics written by Paul Baird. This book was released on 1983. Available in PDF, EPUB and Kindle. Book excerpt: "The aim of this book is to construct harmonic maps between Riemannian manifolds, and in particular between spheres. These maps have a delightful geometry associated with them - they preserve families of level hypersurfaces of constant mean curvature. New maps between Euclidean spheres are constructed, as well as harmonic maps from hyperbolic space to sphere and from Euclidean space to sphere. The author makes considerable use of the stress-energy tensor, which has not previously been used in the context of harmonic maps...In particular, it is used to solve the rendering problem for certain classes of maps between spheres." - back cover

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

2013-06-18 Mathematics
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Release : 2013-06-18
Genre : Mathematics
Kind : eBook
Book Rating : 349/5 ( reviews)

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Book Synopsis Developments of Harmonic Maps, Wave Maps and Yang-Mills Fields into Biharmonic Maps, Biwave Maps and Bi-Yang-Mills Fields by : Yuan-Jen Chiang

Download or read book Developments of Harmonic Maps, Wave Maps and Yang-Mills Fields into Biharmonic Maps, Biwave Maps and Bi-Yang-Mills Fields written by Yuan-Jen Chiang. This book was released on 2013-06-18. Available in PDF, EPUB and Kindle. Book excerpt: 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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