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...

Descripción completa

Detalles Bibliográficos
Autores principales: Burstall, Francis E, Ferus, Dirk, Leschke, Katrin, Pedit, Franz, Pinkall, Ulrich
Lenguaje:eng
Publicado: Springer 2002
Materias:
Mathematical Physics and Mathematics
Acceso en línea:https://dx.doi.org/10.1007/b82935
http://cds.cern.ch/record/1691409
_version_ 1780935746936373248
author Burstall, Francis E
Ferus, Dirk
Leschke, Katrin
Pedit, Franz
Pinkall, Ulrich
author_facet Burstall, Francis E
Ferus, Dirk
Leschke, Katrin
Pedit, Franz
Pinkall, Ulrich
author_sort Burstall, Francis E
collection CERN
description 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.
id cern-1691409
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2002
publisher Springer
record_format invenio
spelling cern-16914092021-04-21T21:10:10Zdoi:10.1007/b82935http://cds.cern.ch/record/1691409engBurstall, Francis EFerus, DirkLeschke, KatrinPedit, FranzPinkall, UlrichConformal geometry of surfaces in s4 and quaternionsMathematical Physics and MathematicsThe 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.Springeroai:cds.cern.ch:16914092002
spellingShingle Mathematical Physics and Mathematics
Burstall, Francis E
Ferus, Dirk
Leschke, Katrin
Pedit, Franz
Pinkall, Ulrich
Conformal geometry of surfaces in s4 and quaternions
title Conformal geometry of surfaces in s4 and quaternions
title_full Conformal geometry of surfaces in s4 and quaternions
title_fullStr Conformal geometry of surfaces in s4 and quaternions
title_full_unstemmed Conformal geometry of surfaces in s4 and quaternions
title_short Conformal geometry of surfaces in s4 and quaternions
title_sort conformal geometry of surfaces in s4 and quaternions
topic Mathematical Physics and Mathematics
url https://dx.doi.org/10.1007/b82935
http://cds.cern.ch/record/1691409
work_keys_str_mv AT burstallfrancise conformalgeometryofsurfacesins4andquaternions
AT ferusdirk conformalgeometryofsurfacesins4andquaternions
AT leschkekatrin conformalgeometryofsurfacesins4andquaternions
AT peditfranz conformalgeometryofsurfacesins4andquaternions
AT pinkallulrich conformalgeometryofsurfacesins4andquaternions

Ejemplares similares