Sequential warped product submanifolds in nearly Kaehler manifolds

Abstract

A new class of warped product manifolds which is known as sequential warped product manifolds have been defined in \cite{shen} and studied in detail in \cite{deshe}. This article is dedicated to study sequential warped product submanifolds having factors holomorphic, totally real and pointwise slant submanifolds embedded in a nearly Kaehler manifolds. We obtain Chen's inequality for sequential warped product submanifolds involving second fundamental form and warping functions.