Quasi Bi-Slant Submanifolds of Kaehler Manifolds

Year 2022, Volume: 15 Issue: 1, 57 - 68, 30.04.2022

Rajendra Prasad Mehmet Akif Akyol Sandeep Kumar Verma Sumeet Kumar

https://doi.org/10.36890/iejg.1061786

Cited By: 3

Abstract

In this paper, we introduce the new notion of quasi bi-slant submanifolds of
almost Hermitian manifolds. Necessary and sufficient conditions for the
integrability of distributions which are involved in the definition of such
submanifolds of a Kaehler manifold are obtained. We also investigate the
necessary and sufficient conditions for these submanifolds of Kaehler
manifolds to be totally geodesic and study the geometry of foliations
determined by the above distributions. Finally, we obtain the necessary and
sufficient conditions for a quasi bi-slant submanifold to be local product
Riemannian manifold and also construct some examples of such submanifolds.

Keywords

Quasi bi-slant submanifold, Kaehler manifold, totally geodesic, distribution

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