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...
Gardado en:
| Auteurs principaux: | , , , , |
|---|---|
| Formato: | Livre numérique |
| Idioma: | Anglais |
| Publicado: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Series: | Lecture notes in mathematics
1772 |
| Sujets: | |
| Acceso en liña: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
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 |
| LEADER | 03405nam a22004817a 4500 | ||
|---|---|---|---|
| 001 | 970375 | ||
| 008 | 110927q2000 xxe ||| |||| 00| 0 eng d | ||
| 009 | PPN155189271 | ||
| 020 | |a 9783540453017 (PDF) | ||
| 041 | 0 | |a eng | |
| 082 | |a 510 | ||
| 082 | |a 516.36 | ||
| 084 | |a 53C42. 2000 | ||
| 084 | |a 53A30. 2000 | ||
| 100 | 1 | |a Burstall, Francis E., |d 1956-...., |c mathématicien. | |
| 245 | 1 | 0 | |a Conformal Geometry of Surfaces in S4 and Quaternions |c Francis E. Burstall, Dirk Ferus, Katrin Leschke [et al.]. |
| 260 | |a Berlin [etc.] : |b Springer. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture notes in mathematics |v 1772 |x 1617-9692 | |
| 500 | |a Autres auteurs : Franz Pedit, Ulrich Pinkall | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a 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. | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a 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. | ||
| 650 | |a Applications conformes | ||
| 650 | |a Quaternions | ||
| 650 | |a Géométrie différentielle | ||
| 650 | |a Mathématiques | ||
| 650 | |a Global differential geometry | ||
| 700 | 1 | |a Leschke, Katrin, |d 1968- |4 aut | |
| 700 | 1 | |a Pinkall, Ulrich, |d 1955- |4 aut | |
| 700 | 1 | |a Pedit, Franz, |d 1957- |4 aut | |
| 700 | 1 | |a Ferus, Dirk, |d 1940- |4 aut | |
| 776 | 0 | |0 069641447 |t Conformal geometry of surfaces in S4 and quaternions |f Francis E. Burstall, Dirk Ferus, Katrin Leschke [et al.] |d 2002 |c Berlin |n Springer |p 1 vol. (VIII-86 p.) |s Lecture notes in mathematics |z 3-540-43008-3 | |
| 776 | 0 | |t Conformal Geometry of Surfaces in S4 and Quaternions |b Texte imprimé |z 9783662196175 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/b82935 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-TGV52SNZ-Z |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:750663855 |u https://ezproxy.univ-orleans.fr/login?url=https://doi.org/10.1007/b82935 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:754013219 |u https://ezproxy.insa-cvl.fr/login?qurl=https://doi.org/10.1007/b82935 |z Accès INSA CVL | |
| 997 | |0 970375 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||