Coverart for item
The Resource Twistor theory for Riemannian symmetric spaces : with applications to harmonic maps of Riemann surfaces, Francis E. Burstall, John H. Rawnsley

Twistor theory for Riemannian symmetric spaces : with applications to harmonic maps of Riemann surfaces, Francis E. Burstall, John H. Rawnsley

Label
Twistor theory for Riemannian symmetric spaces : with applications to harmonic maps of Riemann surfaces
Title
Twistor theory for Riemannian symmetric spaces
Title remainder
with applications to harmonic maps of Riemann surfaces
Statement of responsibility
Francis E. Burstall, John H. Rawnsley
Creator
Contributor
Subject
Language
eng
Summary
In this monograph on twistor theory and its applications to harmonic map theory, a central theme is the interplay between the complex homogeneous geometry of flag manifolds and the real homogeneous geometry of symmetric spaces. In particular, flag manifolds are shown to arise as twistor spaces of Riemannian symmetric spaces. Applications of this theory include a complete classification of stable harmonic 2-spheres in Riemannian symmetric spaces and a Bcklund transform for harmonic 2-spheres in Lie groups which, in many cases, provides a factorisation theorem for such spheres as well as gap phenomena. The main methods used are those of homogeneous geometry and Lie theory together with some algebraic geometry of Riemann surfaces. The work addresses differential geometers, especially those with interests in minimal surfaces and homogeneous manifolds
Member of
Action
digitized
Cataloging source
SPLNM
http://library.link/vocab/creatorDate
1956-
http://library.link/vocab/creatorName
Burstall, Francis E.
Dewey number
515.53
Index
index present
LC call number
  • QA3
  • QA614.73
LC item number
.L28 no. 1424
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorDate
1947-
http://library.link/vocab/relatedWorkOrContributorName
Rawnsley, John H.
Series statement
Lecture notes in mathematics,
Series volume
1424
http://library.link/vocab/subjectName
  • Harmonic maps
  • Twistor theory
  • Symmetric spaces
  • Manifolds (Mathematics)
  • Applications harmoniques
  • Torseurs, Théorie des
  • Espaces symétriques
  • Variétés (Mathématiques)
  • Harmonic maps
  • Manifolds (Mathematics)
  • Symmetric spaces
  • Twistor theory
Label
Twistor theory for Riemannian symmetric spaces : with applications to harmonic maps of Riemann surfaces, Francis E. Burstall, John H. Rawnsley
Instantiates
Publication
Bibliography note
Includes bibliographical references (pages 108-110) and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Homogeneous geometry -- Harmonic maps and twistor spaces -- Symmetric spaces -- Flag manifolds -- The twistor space of a Riemannian symmetric space -- Twistor lifts over Riemannian symmetric spaces -- Stable Harmonic 2-spheres -- Factorisation of harmonic spheres in Lie groups
Control code
298644330
Dimensions
unknown
Extent
1 online resource (112 pages).
Form of item
online
Isbn
9783540470526
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Reproduction note
Electronic reproduction.
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)298644330
System details
Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.
Label
Twistor theory for Riemannian symmetric spaces : with applications to harmonic maps of Riemann surfaces, Francis E. Burstall, John H. Rawnsley
Publication
Bibliography note
Includes bibliographical references (pages 108-110) and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Homogeneous geometry -- Harmonic maps and twistor spaces -- Symmetric spaces -- Flag manifolds -- The twistor space of a Riemannian symmetric space -- Twistor lifts over Riemannian symmetric spaces -- Stable Harmonic 2-spheres -- Factorisation of harmonic spheres in Lie groups
Control code
298644330
Dimensions
unknown
Extent
1 online resource (112 pages).
Form of item
online
Isbn
9783540470526
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Reproduction note
Electronic reproduction.
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)298644330
System details
Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.

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