Quasi Bi-Slant Submanifolds of Kaehler Manifolds

Prasad R., Akyol M. A., Verma S. K., Kumar S.

International Electronic Journal of Geometry, vol.15, no.1, pp.57-68, 2022 (Scopus, TRDizin) identifier

  • Publication Type: Article / Article
  • Volume: 15 Issue: 1
  • Publication Date: 2022
  • Doi Number: 10.36890/iejg.1061786
  • Journal Name: International Electronic Journal of Geometry
  • Journal Indexes: Scopus, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.57-68
  • Keywords: distribution, Kaehler manifold, Quasi bi-slant submanifold, totally geodesic
  • Uşak University Affiliated: No

Abstract

In this paper, we introduce a new notion which is called 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.