Multiplicity-free complex manifolds

DOI10.1007/BF01453576zbMath0765.32016MaRDI QIDQ1812921

Tilman Wurzbacher, Alan T. Huckleberry

Publication date: 25 June 1992

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/164638

zbMATH Keywords

equivalenceLie groupspaces of holomorphic functionsgroup representationssymplectic manifoldHamiltonian actionscoisotropic actionmultiplicity-freespherical embeddingnoncommutative complete integrabilityspaces of sections of holomorphic line bundles

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Homogeneous complex manifolds (32M10) Geometric quantization (53D50)

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Cites Work

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• Fasthomogene Kählermannigfaltigkeiten mit verschwindender erster Bettizahl
• Sur les variétés analytiques complexes
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