On The Normal Structure of a Hypersurface in a 2-Quasi Sasakian Manifold

Mohit Saxena; Sahadat Ali; Nayan Goel

doi:10.56424/jts.v14i01.10606

Mohit Saxena Dept. of Mathematics, Shri Ramswaroop Memorial College of Engineering and Management,Lucknow, India
Sahadat Ali Dept. of Mathematics, Shri Ramswaroop Memorial College of Engineering and Management,Lucknow, India
Nayan Goel Dept. of Mathematics, Deen Dayal Upadhyaya Gorakhpur University,Gorakhpur,Uttar Pradesh,India

DOI: https://doi.org/10.56424/jts.v14i01.10606

Keywords: Quasi Sasakian manifold; normal structure ;totally umbilical hypersurface.

Abstract

Quasi Sasakian manifold have been introduced by Blair [3]. The purpose of this paper is to study the existence of the normal hypersurface of 2–Quasi Sasakian manifold in the sense of Goldberg-Yano [6]. We obtain a characterization for these hypersurfaces and also a theorem of characterization for the normal structure on a contact totally umbilical hypersurface of 2–Quasi Sasakian manifold.