A note on totally umbilical proper slant submanifold of a Lorentzian beta-Kenmotsu manifold

Abstract

In the present note, we study a slant submanifold of a Lorentzian beta-Kenmotsu manifold which is totally umbilical. We prove that every totally umbilical proper slant submanifold M of a Lorentzian beta-Kenmotsu manifold \bar M is either minimal or if M is not minimal then we derive a formula for slant angleof M.