LAUSR

Abstract A biconservative submanifold of a Riemannian manifold is a sub-manifold with divergence free stress-energy tensor with respect to bienergy. These are generalizations of biharamonic submanifolds. In 2013, B.Y. Chen and M.I. Munteanu proved that δ ( 2 ) -ideal and δ ( 3 ) -ideal biharmonic hypersurfaces in Euclidean space are minimal. In this paper, we generalize this result for δ ( 2 ) -ideal and δ ( 3 ) -ideal bisonservative hypersurfaces in Euclidean space. Also, we study δ ( 4 ) -ideal biconservative hypersurfaces in Euclidean space E 6 having constant scalar curvature. We prove that such a hypersurface must be of constant mean curvature.