Hiba Bibi

activity

20202024

collaborators

4 papers

math.DG2024

Biharmonic Hypersurfaces in Euclidean Spaces

Hiba Bibi, Marc Soret, Marina Ville

An isometric immersion $X : Σ^{n} ⟶ E^{n + 1}$ is biharmonic if $Δ^{2} X = 0$ , i.e. if $Δ H = 0$ , where $Δ$ and $H$ are the metric Laplacian and the mean curvature ve…

math.DG2023

Segre embedding and biharmonicity

Hiba Bibi, Dorel Fetcu, Cezar Oniciuc

We consider the Segre embedding of the product $C P^{p} \times C P^{q}$ into $C P^{p + q + pq}$ and study the biharmonicity of $M^{p} \times C P^{q}$ and $M^p_1\tim…

math.DG2021

PMC Biconservative Surfaces in Complex Space Forms

Hiba Bibi, Bang-Yen Chen, Dorel Fetcu +1

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 PMC sur…

math.DG2020

Unique Continuation Property for Biharmonic Hypersurfaces in Spheres

Hiba Bibi, Eric Loubeau, Cezar Oniciuc

We study properties of non-minimal biharmonic hypersurfaces of spheres. The main result is a CMC Unique Continuation Theorem for biharmonic hypersurfaces of spheres. We then deduce…