# CR-submanifolds of locally conformal Kaehler manifolds and Riemannian submersions

Colloquium Mathematicae (1996)

- Volume: 70, Issue: 2, page 165-179
- ISSN: 0010-1354

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topNarita, Fumio. "CR-submanifolds of locally conformal Kaehler manifolds and Riemannian submersions." Colloquium Mathematicae 70.2 (1996): 165-179. <http://eudml.org/doc/210403>.

@article{Narita1996,

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 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.},

author = {Narita, Fumio},

journal = {Colloquium Mathematicae},

keywords = {holomorphic sectional curvature; strictly locally conformal Kähler manifold; CR-submanifold; Riemannian submersion},

language = {eng},

number = {2},

pages = {165-179},

title = {CR-submanifolds of locally conformal Kaehler manifolds and Riemannian submersions},

url = {http://eudml.org/doc/210403},

volume = {70},

year = {1996},

}

TY - JOUR

AU - Narita, Fumio

TI - CR-submanifolds of locally conformal Kaehler manifolds and Riemannian submersions

JO - Colloquium Mathematicae

PY - 1996

VL - 70

IS - 2

SP - 165

EP - 179

AB - 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.

LA - eng

KW - holomorphic sectional curvature; strictly locally conformal Kähler manifold; CR-submanifold; Riemannian submersion

UR - http://eudml.org/doc/210403

ER -

## References

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