CR-submanifolds of locally conformal Kaehler manifolds and Riemannian submersions

• Autorzy: Fumio Narita
• Języki publikacji: EN

Abstrakty

EN

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 the relation between the holomorphic sectional curvatures of L and N. Next, we consider the leaves M of the foliation given by ω = 0 and give a necessary and sufficient condition for M to be a Sasakian manifold.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 1996
• Tom: 70
• Numer: 2
• Strony: 165-179

Daty

wydano

1996

otrzymano

1995-03-03

Twórcy

autor

Fumio Narita

• Department of Mathematics, Akita National College of Technology, 1-1, Bunkyo-cho Iijima, Akita 011, Japan

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