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Kählerian geometry of the infinite-dimensional homogeneous manifold \(M=Diff_ +(S^ 1)/Rot(S^ 1)\)

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Publication:1102562
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DOI10.1007/BF01083503zbMath0644.53060MaRDI QIDQ1102562

Denis S. Juriev, Alexandre Kirillov

Publication date: 1986

Published in: Functional Analysis and its Applications (Search for Journal in Brave)


zbMATH Keywords

group of isometrieshomogeneous spaceholomorphic functionscomplex foliationsinvariant Kähler structures


Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20)


Related Items

Quasi-invariance of Brownian measures on the group of circle homeomorphisms and infinite-dimensional Riemannian geometry, Entropy and rigidity of locally symmetric spaces of strictly negative curvature, Representations of the Virasoro algebra by the orbit method, Diff(S\({}^ 1)\) and the Teichmüller spaces, A symplectic functional analytic proof of the conformal welding theorem, Invariant or quasi-invariant probability measures for infinite dimensional groups. II: Unitarizing measures or Berezinian measures, On the univalency of regular functions



Cites Work

  • A proof of the Bieberbach conjecture
  • Construction of unitary irreducible representations of Lie groups
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