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 Quasi Bi-Slant Submanifolds of Nearly Kaehler Manifolds

Rajendra Prasad (1) and Shweta Singh (2)

(1) Department of Mathematics and Astronomy, University of Lucknow, Lucknow-226007, India

Email address: rp.manpur@rediffmail.com

 

(2) Department of Mathematics and Astronomy, University of Lucknow, Lucknow-226007, India

Email address: singhshweta037@gmail.com

Doi : https://doi.org/10.47013/15.4.20

Cited by : Jordan J. Math & Stat., 15 (4B) (2022), 1093 - 1110

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Received on: Oct. 27, 2021;                                             Accepted on: April 28, 2022

 Abstract. We introduce the notion of quasi bi-slant submanifolds of nearly Kaehler manifolds and study some of thier properties. The necessary and sufficient conditions for the integrability of distributions, involved in the definition of quasi bi-slant submanifolds of nearly Kaehler manifolds, are obtained. We also investigate the necessary and sufficient conditions for quasi bi-slant submanifolds of nearly Kaehler manifolds to be totally geodesic, and we study the geometry of foliations. Finally, we construct some non-trivial examples of quasi bi-slant manifolds of nearly Kaehler manifolds.

Keywords: Nearly Kaehler manifolds, Quasi bi-slant submanifold, Totally geodesic submanifolds, Totally umbilical submanifolds.