Almost bi-slant submanifolds of an almost contact metric manifold

YÜKSEL PERKTAŞ S., Blaga A. M., KILIÇ E.

JOURNAL OF GEOMETRY, vol.112, no.1, 2021 (ESCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 112 Issue: 1
  • Publication Date: 2021
  • Doi Number: 10.1007/s00022-020-00564-1
  • Journal Name: JOURNAL OF GEOMETRY
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, Academic Search Premier, zbMATH
  • Inonu University Affiliated: Yes

Abstract

In this paper we introduce and study the almost bi-slant submanifolds of an almost contact metric manifold. We give some characterization theorems for almost bi-slant submanifolds. Moreover, we obtain integrability conditions of the distributions which are involved in the definition of almost bi-slant submanifolds. We also get some results for totally geodesic and totally umbilical almost bi-slant submanifolds of cosymplectic manifolds and Sasakian manifolds.