CR-submanifolds of locally conformal Kaehler manifolds and Riemannian submersions

Fumio Narita

doi:10.4064/cm-70-2-165-179

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CR-submanifolds of locally conformal Kaehler manifolds and Riemannian submersions

Fumio Narita

Year: 1996 Journal: Colloquium Mathematicum Vol: 70 (2)Pages: 165-179 Publisher: Polish Academy of Sciences

DOI: 10.4064/cm-70-2-165-179

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Abstract

We consider a Riemannian submersion π: M → N, where M is a CR-submanifold of a locally conformal Kaehler manifold L with the Lee form ω which is strongly non-Kaehler and N is an almost Hermitian manifold. First, we study some geometric structures of N and

Keywords:

Mathematics Submanifold Pure mathematics Conformal map Kähler manifold Totally geodesic Hermitian manifold Hermitian matrix Riemannian submersion Riemannian manifold Mathematical analysis Manifold (fluid mechanics) Ricci curvature Geometry Curvature

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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

CR-submanifolds of locally conformal Kaehler manifolds and Riemannian submersions

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