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Conformal Geometry of Surfaces in S4 and Quaternions

2004-10-19 Mathematics
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Release : 2004-10-19
Genre : Mathematics
Kind : eBook
Book Rating : 016/5 ( reviews)

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Book Synopsis Conformal Geometry of Surfaces in S4 and Quaternions by : Francis E. Burstall

Download or read book Conformal Geometry of Surfaces in S4 and Quaternions written by Francis E. Burstall. This book was released on 2004-10-19. Available in PDF, EPUB and Kindle. Book excerpt: The conformal geometry of surfaces recently developed by the authors leads to a unified understanding of algebraic curve theory and the geometry of surfaces on the basis of a quaternionic-valued function theory. The book offers an elementary introduction to the subject but takes the reader to rather advanced topics. Willmore surfaces in the foursphere, their Bäcklund and Darboux transforms are covered, and a new proof of the classification of Willmore spheres is given.

Conformal Geometry of Surfaces in S4 and Quaternions

2014-01-15
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Release : 2014-01-15
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Kind : eBook
Book Rating : 175/5 ( reviews)

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Book Synopsis Conformal Geometry of Surfaces in S4 and Quaternions by : Francis E. Burstall

Download or read book Conformal Geometry of Surfaces in S4 and Quaternions written by Francis E. Burstall. This book was released on 2014-01-15. Available in PDF, EPUB and Kindle. Book excerpt:

Introduction to Möbius Differential Geometry

2003-08-14 Mathematics
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Release : 2003-08-14
Genre : Mathematics
Kind : eBook
Book Rating : 694/5 ( reviews)

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Book Synopsis Introduction to Möbius Differential Geometry by : Udo Hertrich-Jeromin

Download or read book Introduction to Möbius Differential Geometry written by Udo Hertrich-Jeromin. This book was released on 2003-08-14. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the reader to the geometry of surfaces and submanifolds in the conformal n-sphere.

Harmonic Maps and Differential Geometry

2011 Mathematics
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Release : 2011
Genre : Mathematics
Kind : eBook
Book Rating : 875/5 ( reviews)

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Book Synopsis Harmonic Maps and Differential Geometry by : Eric Loubeau

Download or read book Harmonic Maps and Differential Geometry written by Eric Loubeau. This book was released on 2011. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of a conference held in Cagliari, Italy, from September 7-10, 2009, to celebrate John C. Wood's 60th birthday. These papers reflect the many facets of the theory of harmonic maps and its links and connections with other topics in Differential and Riemannian Geometry. Two long reports, one on constant mean curvature surfaces by F. Pedit and the other on the construction of harmonic maps by J. C. Wood, open the proceedings. These are followed by a mix of surveys on Prof. Wood's area of expertise: Lagrangian surfaces, biharmonic maps, locally conformally Kahler manifolds and the DDVV conjecture, as well as several research papers on harmonic maps. Other research papers in the volume are devoted to Willmore surfaces, Goldstein-Pedrich flows, contact pairs, prescribed Ricci curvature, conformal fibrations, the Fadeev-Hopf model, the Compact Support Principle and the curvature of surfaces.

Quaternions, Spinors, and Surfaces

2002 Mathematics
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Release : 2002
Genre : Mathematics
Kind : eBook
Book Rating : 283/5 ( reviews)

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Book Synopsis Quaternions, Spinors, and Surfaces by : George Kamberov

Download or read book Quaternions, Spinors, and Surfaces written by George Kamberov. This book was released on 2002. Available in PDF, EPUB and Kindle. Book excerpt: Many classical problems in pure and applied mathematics remain unsolved or partially solved. This book studies some of these questions by presenting new and important results that should motivate future research. Strong bookstore candidate.

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