Coverart for item
The Resource Conformal geometry of surfaces in S4 and quaternions, F.E. Burstall [and others]

Conformal geometry of surfaces in S4 and quaternions, F.E. Burstall [and others]

Label
Conformal geometry of surfaces in S4 and quaternions
Title
Conformal geometry of surfaces in S4 and quaternions
Statement of responsibility
F.E. Burstall [and others]
Creator
Subject
Language
eng
Summary
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 Bcklund and Darboux transforms are covered, and a new proof of the classification of Willmore spheres is given
Member of
Cataloging source
OHX
http://library.link/vocab/creatorDate
1956-
http://library.link/vocab/creatorName
Burstall, Francis E.
Index
index present
Literary form
non fiction
Nature of contents
bibliography
Series statement
Lecture notes in mathematics,
Series volume
v. 1772
http://library.link/vocab/subjectName
  • Conformal mapping
  • Quaternions
  • Surfaces, Representation of
  • Conformal geometry
Label
Conformal geometry of surfaces in S4 and quaternions, F.E. Burstall [and others]
Instantiates
Publication
Bibliography note
Includes bibliographical references (page 87) and index
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Quaternions -- Linear algebra over the quaternions -- Projective spaces -- Vector bundles -- The mean curvature sphere -- Willmore Surfaces -- Metric and affine conformal geometry -- Twistor projections -- Bcklund transforms of Willmore surfaces -- Willmore surfaces in S3 -- Spherical Willmore surfaces in HP1 -- Darboux transforms -- Appendix: The bundle L. Holomorphicity and the Ejiri theorem
Control code
49045360
Dimensions
24 cm
Extent
viii, 86 pages
Isbn
9783540430087
Isbn Type
(pbk.)
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Label
Conformal geometry of surfaces in S4 and quaternions, F.E. Burstall [and others]
Publication
Bibliography note
Includes bibliographical references (page 87) and index
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Quaternions -- Linear algebra over the quaternions -- Projective spaces -- Vector bundles -- The mean curvature sphere -- Willmore Surfaces -- Metric and affine conformal geometry -- Twistor projections -- Bcklund transforms of Willmore surfaces -- Willmore surfaces in S3 -- Spherical Willmore surfaces in HP1 -- Darboux transforms -- Appendix: The bundle L. Holomorphicity and the Ejiri theorem
Control code
49045360
Dimensions
24 cm
Extent
viii, 86 pages
Isbn
9783540430087
Isbn Type
(pbk.)
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n

Library Locations

    • Mathematical Sciences LibraryBorrow it
      104 Ellis Library, Columbia, MO, 65201, US
      38.944377 -92.326537
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