书目名称 | Conformal Geometry of Surfaces in S4 and Quaternions |
编辑 | Francis E. Burstall,Dirk Ferus,Ulrich Pinkall |
视频video | |
概述 | Includes supplementary material: |
丛书名称 | Lecture Notes in Mathematics |
图书封面 |  |
描述 | 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. |
出版日期 | Book 2002 |
关键词 | Backlund tranform; Conformal surface theory; Mean curvature; Wilmore functional; curvature; darboux trans |
版次 | 1 |
doi | https://doi.org/10.1007/b82935 |
isbn_softcover | 978-3-540-43008-7 |
isbn_ebook | 978-3-540-45301-7Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
issn_series | 0075-8434 |
copyright | Springer-Verlag Berlin Heidelberg 2002 |