Conformally flat and locally conformal Kähler manifolds

DOI10.1007/BF01262178zbMath0809.53037MaRDI QIDQ1316847

V. F. Kirichenko

Publication date: 12 April 1994

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

holomorphic sectional curvatureconformal Kähler structureconformally flatlocally conformal Kähler manifoldsgeneralized Hopf manifold

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Global Riemannian geometry, including pinching (53C20)

Related Items (5)

An example of a concircular vector field on a locally conformally Kähler manifold ⋮ On Kähler structures of Taub-Nut and kerr spaces ⋮ Conformally flat Lorentzian manifolds with special holonomy groups ⋮ Curvature identities for normal manifolds of Killing type ⋮ Conformally invariant properties of nearly Kählerian manifolds

Cites Work

• The sixteen classes of almost Hermitian manifolds and their linear invariants
• Almost Hermitian manifolds with constant holomorphic sectional curvature
• Kaluza-Klein theory with scalar fields and generalised Hopf manifolds
• On Locally and Globally Conformal Kahler Manifolds
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