During the last four decades, there were numerous important developments on total mean
curvature and the theory of finite type submanifolds. This unique and expanded second …

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 …

In this work we obtain some geometric properties of biconservative surfaces in a
Riemannian manifold. In particular, we shall study the relationship between biconservative …

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 classify non-minimal biconservative surfaces with parallel mean curvature vector field in
S n× R and H n× R. When these surfaces do not lie in S n or H n and they are not vertical …

We characterise the profile curves of non-CMC biconservative rotational hypersurfaces of
space forms N n (ρ) as p-elastic curves, for a suitable rational number p∈[1/4, 1) which …

On biconservative hypersurfaces in ‐dimensional Riemannian space forms - Turgay - 2019
- Mathematische Nachrichten - Wiley Online Library Skip to Article Content Skip to Article …

In this paper, we study non-CMC biconservative surfaces with flat normal bundle in the
Euclidean 4-space E 4. First, we determine locally all parallel normalized mean curvature …

Complete classification of biconservative hypersurfaces with diagonalizable shape operator
in the Minkowski 4-space Page 1 International Journal of Mathematics Vol. 27, No. 5 (2016) …

We consider biconservative surfaces $\left (M^ 2, g\right) $ in a space form $ N^ 3 (c) $, with
mean curvature function $ f $ satisfying $ f> 0$ and $\nabla f\neq 0$ at any point, and …