Lecture Notes in Mathematics

Conformal Geometry of Surfaces in S4 and Quaternions

Authors: Burstall, F.E., Ferus, D., Leschke, K., Pedit, F., Pinkall, U.

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  • ISBN 978-3-540-45301-7
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About this book

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.

Table of contents (15 chapters)

Table of contents (15 chapters)

Buy this book

eBook 28,88 €
price for Spain (gross)
  • ISBN 978-3-540-45301-7
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover 36,35 €
price for Spain (gross)
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Bibliographic Information

Bibliographic Information
Book Title
Conformal Geometry of Surfaces in S4 and Quaternions
Authors
Series Title
Lecture Notes in Mathematics
Series Volume
1772
Copyright
2002
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-45301-7
DOI
10.1007/b82935
Softcover ISBN
978-3-540-43008-7
Series ISSN
0075-8434
Edition Number
1
Number of Pages
VIII, 96
Topics