Title of article :
Biconservative Submanifolds with Parallel Normalized Mean Curvature Vector Field in Euclidean Spaces
Author/Authors :
Şen ، Rüya Yeğin Department of Mathematics - Manipal Academy of HigherEducation - Manipal institute of Technology
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 mdimensional submanifoldswhich have parallel normalized mean curvature vector field in $E^{m+2}$. We obtain canonical forms of the shape operators of such submanifolds.
Keywords :
Biconservative submanifolds , Parallel normalized mean curvature vector field
Journal title :
Bulletin of the Iranian Mathematical Society
Journal title :
Bulletin of the Iranian Mathematical Society