Biconservative Submanifolds with Parallel Normalized Mean Curvature Vector Field in Euclidean Spaces

Abstract

A submanifold in the Euclidean space is said to have parallel normalized mean curvature vector field if the unit vector field in the direction of the mean curvature vector field is parallel in the normal bundle. In this article, we focus on biconservative m-dimensional submanifolds which have parallel normalized mean curvature vector field in Em+2. We obtain canonical forms of the shape operators of such submanifolds.