We present some general properties of biharmonic and biconservative submanifolds and
then survey recent results on such hypersurfaces in space forms. We also propose an …

Biconservative surfaces of Riemannian 3-space forms $ N^ 3 (\rho) $, are either constant
mean curvature (CMC) surfaces or rotational linear Weingarten surfaces verifying the …

In this paper, we study biconservative surfaces with parallel normalized mean curvature
vector field (PNMC) in the 4-dimensional unit Euclidean sphere S 4. First, we study the …

A submanifold $\phi: M\to\mathbb E^{m} $ is called {\it biharmonic} if it satisfies
$\Delta^{2}\phi= 0$ identically, according to the author. On the other hand, G.-Y. Jiang …

We consider a class of surfaces satisfying an interesting geometric equation A∇ H= k H∇ H
in non-flat 3-dimensional space forms N 3 (c), where A is the shape operator, H is the mean …

Biconservative surfaces are surfaces with divergence-free stress-bienergy tensor. Simply
connected, complete, non-$ CMC $ biconservative surfaces in $3 $-dimensional space …

A submanifold φ: M→ Em is called biharmonic if it satisfies∆ 2φ= 0 identically, according to
the author. On the other hand, G.-Y. Jiang studied biharmonic maps between Riemannian …

We study the surfaces in 3-dimensional Lorentz space forms N 1 3 (c) that satisfy the
geometric equation A∇ H= k H∇ H relating the shape operator A and the mean curvature H …

Biconservative hypersurfaces are hypersurfaces which have conservative stress-energy
tensor with respect to the bienergy, containing all minimal and constant mean curvature …

The normal bundle T⊥ M of a surface M in R 3 can be naturally immersed in C 3= R 3× R 3
as a Lagrangian submanifold. Let H denote the mean curvature vector field of T⊥ M in C 3 …