Pointwise bi-slant submersions from cosymplectic manifolds

Year 2020, Volume: 69 Issue: 2, 1310 - 1319, 31.12.2020

Sezin Aykurt Sepet , Mahmut Ergüt

https://doi.org/10.31801/cfsuasmas.650697

Cited By: 3

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. 

Keywords

Riemannian submersion, pointwise bi-slant submersion, cosymplectic manifold

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