Abstract
We introduce pointwise bi-slant submersions from cosymplectic manifolds onto Riemannian manifolds as a generalization of anti-invariant, semi-invariant, semi-slant, hemi-slant, pointwise semi-slant, pointwise hemi-slant and pointwise slant Riemannian submersions. We give an example for pointwise bi-slant submersions and investigate integrability and totally geodesicness of the distributions which are mentioned in the definition of pointwise bi-slant submersions admitting vertical Reeb vector field. Also we obtain necessary and sufficient conditions for such submersions to be totally geodesic maps.
Highlights
The geometry of slant submanifolds was initiated by B.Y
We introduce pointwise bi-slant submersions from cosymplectic manifolds onto Riemannian manifolds as a generalization of anti-invariant, semi-invariant, semi-slant, hemi-slant, pointwise semi-slant, pointwise hemislant and pointwise slant Riemannian submersions
We give an example for pointwise bi-slant submersions and investigate integrability and totally geodesicness of the distributions which are mentioned in the de...nition of pointwise bi-slant submersions admitting vertical Reeb vector ...eld
Summary
The geometry of slant submanifolds was initiated by B.Y. Chen [9]. A bi-slant submanifold of Kaehlerian manifold was de...ned by Uddin and et al (see [27]). Alqahtani and the other authors studied warped product bi-slant submanifolds of cosymplectic manifolds [4]. Riemannian submersion, pointwise bi-slant submersion, cosymplectic manifold. Watson investigated the Riemannian submersions between almost Hermitian manifolds, (see [28]). In purpose of the present article is to investigate pointwise bi-slant submersions from cosymplectic manifolds onto Riemannian manifolds. We obtain necessary and su¢ cient conditions for such submersions to be totally geodesic maps
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