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 paper we shall consider polyharmonic hypersurfaces of order r (briefly, r-harmonic
hypersurfaces), where r≥ 3 is an integer, into a space form N m+ 1 (c) of curvature c. For this …

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

H-hypersurfaces with three distinct principal curvatures in the Euclidean spaces | Annali di
Matematica Pura ed Applicata (1923 -) Skip to main content SpringerLink Account Menu Find …

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 …

In this paper, we study biconservative hypersurfaces of index 2 in E 2 5. We give the
complete classification of biconservative hypersurfaces with diagonalizable shape operator …

Polyharmonic, or r-harmonic, maps are a natural generalization of harmonic maps whose
study was proposed by Eells–Lemaire in 1983. The main aim of this paper is to construct …

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

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 …