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 …

We study the uniqueness of complete biconservative surfaces in the Euclidean space
$\mathbb {R}^ 3$ and prove that the only complete biconservative regular surfaces in …

We construct simply connected, complete, non-C MC biconservative surfaces in the 3-
dimensional hyperbolic space H 3, in an intrinsic and extrinsic way. We obtain three families …

We study in a uniform manner the properties of biconservative surfaces in arbitrary
Riemannian manifolds. Biconservative surfaces being characterized by the vanishing of the …

Dans cette thèse, nous commençons par démontrer un Théorème de Continuation Unique
pour les hypersurfaces non-minimales biharmoniques dans les sphères. Sous les bonnes …

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 …

We survey some recent results on biconservative surfaces in $3 $-dimensional space forms
$ N^ 3 (c) $ with a special emphasis on the $ c= 0$ and $ c= 1$ cases. We study the local …

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 …