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]
Contributor
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
BUF
Dewey number
  • 510 s
  • 516.3/6
Index
index present
Language note
English
LC call number
QA3
LC item number
.L28 no.1772
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorDate
1956-
http://library.link/vocab/relatedWorkOrContributorName
Burstall, Francis E.
Series statement
Lecture notes in mathematics,
Series volume
v. 1772
http://library.link/vocab/subjectName
  • Conformal mapping
  • Surfaces, Representation of
  • Quaternions
  • Conformal geometry
  • Conformal geometry
  • Conformal mapping
  • Quaternions
  • Surfaces, Representation of
  • Differentiaaltopologie
  • Quaternionen
Label
Conformal geometry of surfaces in S4 and quaternions, F.E. Burstall [and others]
Instantiates
Publication
Antecedent source
file reproduced from original
Bibliography note
Includes bibliographical references (page 87) and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
mixed
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
50151672
Dimensions
unknown
Extent
1 online resource (viii, 86 pages, 1 unnumbered pages).
File format
unknown
Form of item
online
Isbn
9783540453017
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/b82935.
Quality assurance targets
unknown
Reformatting quality
not applicable
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)50151672
Label
Conformal geometry of surfaces in S4 and quaternions, F.E. Burstall [and others]
Publication
Antecedent source
file reproduced from original
Bibliography note
Includes bibliographical references (page 87) and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
mixed
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
50151672
Dimensions
unknown
Extent
1 online resource (viii, 86 pages, 1 unnumbered pages).
File format
unknown
Form of item
online
Isbn
9783540453017
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/b82935.
Quality assurance targets
unknown
Reformatting quality
not applicable
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)50151672

Library Locations

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      38.944491 -92.326012
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