Biconservative Submanifolds in and
The Journal of Geometric Analysis, 2019•Springer
In this paper we study biconservative submanifolds in S^ n * RS n× R and H^ n * RH n× R
with parallel mean curvature vector field and codimesion 2. We obtain some sufficient and
necessary conditions for such submanifolds to be conservative. In particular, we obtain a
complete classification of 3-dimensional biconservative submanifolds in S^ 4 * RS 4× R and
H^ 4 * RH 4× R with nonzero parallel mean curvature vector field. We also get some results
for biharmonic submanifolds in S^ n * RS n× R and H^ n * RH n× R.
with parallel mean curvature vector field and codimesion 2. We obtain some sufficient and
necessary conditions for such submanifolds to be conservative. In particular, we obtain a
complete classification of 3-dimensional biconservative submanifolds in S^ 4 * RS 4× R and
H^ 4 * RH 4× R with nonzero parallel mean curvature vector field. We also get some results
for biharmonic submanifolds in S^ n * RS n× R and H^ n * RH n× R.
Abstract
In this paper we study biconservative submanifolds in and with parallel mean curvature vector field and codimesion 2. We obtain some sufficient and necessary conditions for such submanifolds to be conservative. In particular, we obtain a complete classification of 3-dimensional biconservative submanifolds in and with nonzero parallel mean curvature vector field. We also get some results for biharmonic submanifolds in and .
Springer