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 consider PMC surfaces in complex space forms, and study the interaction
between the notions of PMC, totally real and biconservative. We first consider PMC surfaces …

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 …

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

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 …

In this article we consider PMC surfaces in complex space forms, and we study the
interaction between the notions of PMC, totally real and biconservative. We first consider …

In this paper, we study biharmonic hypersurfaces in a product L m× R of an Einstein space L
m and a real line R. We prove that a biharmonic hypersurface with constant mean curvature …

We consider the Segre embedding of the product $\mathbb {C} P^ p\times\mathbb {C} P^ q $
into $\mathbb {C} P^{p+ q+ pq} $ and study the biharmonicity of $ M^ p\times\mathbb {C} P …

arXiv:2401.15072v1 [math.DG] 26 Jan 2024 Page 1 arXiv:2401.15072v1 [math.DG] 26 Jan 2024
Einstein submanifolds with parallel mean curvature into Sn × R Estela Garcia∗and Fernando …