Pointwise bi-slant submersions from cosymplectic manifolds

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Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
Volume:69 Issue:2
Pointwise bi-slant submersions from cosymplectic manifolds

Pointwise bi-slant submersions from cosymplectic manifolds

Authors : Sezin AYKURT SEPET, Mahmut ERGÜT

Pages : 1310-1319

Doi:10.31801/cfsuasmas.650697

View : 18 | Download : 9

Publication Date : 2020-12-31

Article Type : Research Paper

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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