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

By: Contributor(s): Material type: TextTextSeries: Lecture notes in mathematics (Springer-Verlag) ; 1424.Publication details: Berlin ; New York : Springer-Verlag, ©1990.Description: 1 online resource (112 pages)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9783540470526
  • 3540470522
Subject(s): Additional physical formats: Print version:: Twistor theory for Riemannian symmetric spaces.DDC classification:
  • 515.53 22
LOC classification:
  • QA3 .L28 no. 1424 QA614.73
Other classification:
  • 31.55
  • *53C35
  • 27
  • 31.43
  • 31.52
  • 53-02
  • 58-02
  • 58E20
  • PD 36
Online resources:
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.
Action note:
  • digitized 2010 HathiTrust Digital Library committed to preserve
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.
Holdings
Item type Current library Collection Call number Status Date due Barcode Item holds
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Total holds: 0

Includes bibliographical references (pages 108-110) and index.

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.

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Electronic reproduction. [Place of publication not identified] : HathiTrust Digital Library, 2010. MiAaHDL

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. MiAaHDL

http://purl.oclc.org/DLF/benchrepro0212

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Print version record.

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.

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