A geometric condition for an l.c.K. manifold to be Kähler

DOI10.1007/BF01447416zbMath0462.53034MaRDI QIDQ1153361

Izu Vaisman

Publication date: 1981

Published in: Geometriae Dedicata (Search for Journal in Brave)

zbMATH Keywords

Lee formlocally conformal Kähler manifoldslocally conformal almost Kähler manifoldsminimal Kählerian submanifolds

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Local differential geometry of Hermitian and Kählerian structures (53B35) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15)

Related Items

Locally conformal Kähler submersions ⋮ Complex geometry of moment-angle manifolds ⋮ CR-hypersurfaces of a conformal Kenmotsu manifold satisfying certain shape operator conditions ⋮ Rational curves and special metrics on twistor spaces ⋮ Locally conformal Kähler structures in quaternionic geometry ⋮ On the normal Jacobi operator of \textit{CR}-hypersurfaces in conformal Kenmotsu space forms ⋮ Classification of non-Kähler surfaces and locally conformally Kähler geometry

Cites Work

• Unnamed Item
• On locally conformal almost Kaehler manifolds
• Minimal varieties and almost Hermitian submanifolds
• A Theorem on Compact Locally Conformal Kahler Manifolds