Homogeneous Kähler manifolds of complex dimension two

DOI10.2748/tmj/1178229308zbMath0548.32006OpenAlexW1988927046WikidataQ126005081 ScholiaQ126005081MaRDI QIDQ799845

Satoru Shimizu

Publication date: 1982

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178229308

zbMATH Keywords

construction of homogeneous Kählerian manifoldsholomorphic Hano-Kobayashi fiberingtwo-dimensional connected homogeneous Kählerian manifold

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Hyperbolic and Kobayashi hyperbolic manifolds (32Q45) Complex manifolds (32Q99) Fiber spaces and bundles in algebraic topology (55R99)

Related Items

Homogeneous Kähler manifolds admitting a transitive solvable group of automorphisms ⋮ On the Levi-flats in complex tori of dimension two

Cites Work

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• Structure of homogeneous Riemann spaces with zero Ricci curvature
• On homogeneous Kähler manifolds with non-degenerate canonical Hermitian form of signature (2,2(n-1))
• Sur La Forme Hermitienne Canonique Des Espaces Homogenes Complexes
• A Fibering of a Class of Homogeneous Complex Manifolds
• On homogeneous complex manifolds with negative definite canonical Hermitian form