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 Backlund and Darboux transforms are covered, and a new proof of the classification of Willmore spheres is given.
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语言 英语 ● 格式 PDF ● ISBN 9783540453017 ● 出版者 Springer Berlin Heidelberg ● 发布时间 2004 ● 下载 3 时 ● 货币 EUR ● ID 6648049 ● 复制保护 Adobe DRM
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