Conformal Geometry of Surfaces in S4 and Quaternions
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...
সংরক্ষণ করুন:
| প্রধান লেখক: | , , , , |
|---|---|
| বিন্যাস: | Livre numérique |
| ভাষা: | Anglais |
| প্রকাশিত: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| মালা: | Lecture notes in mathematics
1772 |
| বিষয়গুলি: | |
| অনলাইন ব্যবহার করুন: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| টীকা: |
Autres auteurs : Franz Pedit, Ulrich Pinkall Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Conformal geometry of surfaces in S4 and quaternions, Francis E. Burstall, Dirk Ferus, Katrin Leschke [et al.], 2002, Berlin, Springer, 1 vol. (VIII-86 p.), Lecture notes in mathematics, 3-540-43008-3 • Conformal Geometry of Surfaces in S4 and Quaternions, Texte imprimé, 9783662196175 |
সূচিপত্রের সারণি:
- Quaternions
- Linear algebra over the quaternions
- Projective spaces
- Vector bundles
- The mean curvature sphere
- Willmore Surfaces
- Metric and affine conformal geometry
- Twistor projections
- Bäcklund transforms of Willmore surfaces
- Willmore surfaces in S3
- Spherical Willmore surfaces in HP1
- Darboux transforms
- Appendix: The bundle L. Holomorphicity and the Ejiri theorem.