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An Entity of Type : rdac:C10001, within Data Space : data.idref.fr associated with source document(s)

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type
Author
alternative label
  • Twistor Theory for Riemannian Symmetric Spaces
dc:subject
  • Théorie des torseurs
  • Mathematics
  • Fourier Analysis
  • Manifolds (Mathematics)
  • Differential Geometry
  • Global differential geometry
  • Géométrie différentielle
  • Topological Groups
  • Topological Groups, Lie Groups
  • Groupes topologiques
  • Variétés (mathématiques)
  • Twistor theory
  • Applications harmoniques
  • Harmonic maps
  • Espaces symétriques
  • Symmetric spaces
  • Topological Groups and Lie Groups
preferred label
  • Twistor theory for Riemannian symmetric spaces, with applications to harmonic maps of Riemann surfaces
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Subject
dc:title
  • Twistor theory for Riemannian symmetric spaces, with applications to harmonic maps of Riemann surfaces
note
  • 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 Bäcklund 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.
dc:type
  • Text
http://iflastandar...bd/elements/P1001
rdaw:P10219
  • 1990
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