A note on quasi umbilical hypersurface of a Sasakian manifold with $(\phi, g, u, v, \lambda)-$ structure

TL;DR

This paper investigates the properties of quasi-umbilical hypersurfaces within Sasakian manifolds that possess a specific $(, g, u, v, l)$-structure, focusing on conditions under which these hypersurfaces are cylindrical.

Contribution

It establishes new relations characterizing when quasi-umbilical hypersurfaces in Sasakian manifolds are cylindrical, expanding understanding of their geometric structure.

Findings

Derived conditions for hypersurfaces to be cylindrical

Characterized properties of quasi-umbilical hypersurfaces in Sasakian manifolds

Extended geometric relations involving $(, g, u, v, l)$-structure

Abstract

In this paper we have studied the properties of Quasi umbilical hypersurface $M$ of a Sasakian manifold $\tilde M$ with $(\phi, g, u, v, \lambda)-$structure and established the relation for $M$ to be cylindrical.