Quasi bi-slant submersions in contact geometry

Rajendra Prasad; Mehmet Akif Akyol; Sushil Kumar; Punit Kumar Singh

Rajendra Prasad Department of Mathematics and Astronomy, University of Lucknow, Lucknow, India.
Mehmet Akif Akyol Department of Mathematics, Faculty of Sciences and Arts, Bingöl University, 12000, Bingöl, Turkey.
Sushil Kumar Department of Mathematics, Shri Jai Narain Post Graduate College, Lucknow, India.
Punit Kumar Singh Department of Mathematics and Astronomy, University of Lucknow, Lucknow, India.

Keywords: Riemannian submersion, semi-invariant submersion, bi-slant submersion, quasi bi-slant submersion, horizontal distribution

Abstract

The aim of the paper is to introduce the concept of quasi bi-slant submersions from almost contact metric manifolds onto Riemannian manifolds as a generalization of semi-slant and hemi-slant submersions. We mainly focus on quasi bi-slant submersions from cosymplectic manifolds. We give some non-trivial examples and study the geometry of leaves of distributions which are involved in the definition of the submersion. Moreover, we find some conditions for such submersions to be integrable and totally geodesic.

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