Some curvature properties of locally conformal Kähler manifolds

Izu Vaisman

doi:10.1090/s0002-9947-1980-0567089-2

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Some curvature properties of locally conformal Kähler manifolds

Izu Vaisman

Year: 1980 Journal: Transactions of the American Mathematical Society Vol: 259 (2)Pages: 439-447 Publisher: American Mathematical Society

DOI: 10.1090/s0002-9947-1980-0567089-2

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Abstract

Curvature identities and holomorphic sectional curvature of locally conformal Kähler manifolds are investigated. Particularly, sufficient conditions for such manifolds to be globally conformal Kähler are derived.

Keywords:

Mathematics Conformal map Curvature Sectional curvature Holomorphic function Pure mathematics Ricci-flat manifold Mathematical analysis Scalar curvature Geometry

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Geometric Analysis and Curvature Flows

Physical Sciences → Mathematics → Applied Mathematics

Geometry and complex manifolds

Physical Sciences → Mathematics → Geometry and Topology

Advanced Differential Geometry Research

Physical Sciences → Physics and Astronomy → Astronomy and Astrophysics

Some curvature properties of locally conformal Kähler manifolds

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