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.
Primary Language | English |
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Subjects | Mathematical Sciences |
Journal Section | Research Article |
Authors | |
Early Pub Date | April 30, 2022 |
Publication Date | April 30, 2022 |
Acceptance Date | April 18, 2022 |
Published in Issue | Year 2022 Volume: 15 Issue: 1 |