J. Van der Veken

activity

20182024

collaborators

6 papers

math.DG2024

Hypersurfaces of $S^{3} \times R$ and $H^{3} \times R$ with constant principal curvatures

Fernando Manfio, João Batista Marques dos Santos, João Paulo dos Santos +1

We classify the hypersurfaces of $Q^{3} \times R$ with three distinct constant principal curvatures, where $ε \in {1, - 1}$ and $Q^{3}$ denotes the u…

math.DG2020

$H$ -umbilical Lagrangian submanifolds of the nearly Kähler $S^{3} \times S^{3}$

Miroslava Antić, Marilena Moruz, Joeri Van der Veken

$H$ -umbilicity was introduced as an analogue of total umbilicity for Lagrangian submanifolds since, in some relevant cases, totally umbilical Lagrangian submanifolds are automatica…

math.DG2020

Lagrangian submanifolds of the complex hyperbolic quadric

Joeri Van der Veken, Anne Wijffels

We consider the complex hyperbolic quadric $Q^{*}^{n}$ as a complex hypersurface of complex anti-de Sitter space. Shape operators of this submanifold give rise to a family of local a…

math.DG2019

Rotationally invariant constant Gauss curvature surfaces in Berger spheres

Francisco Torralbo, Joeri Van der Veken

We give a full classification of complete rotationally invariant surfaces with constant Gauss curvature in Berger spheres: they are either Clifford tori, which are flat, or spheres…

math.DG2019

Geometry of submanifolds with respect to ambient vector fields

Fernando Manfio, Ruy Tojeiro, Joeri Van der Veken

Given a Riemannian manifold $N^{n}$ and $Z \in X (N)$ , an isometric immersion $f : M^{m} \to N^{n}$ is said to have the \emph{constant ratio property with respect to $…

math.DG2018

Parallel and totally geodesic hypersurfaces of non-reductive homogeneous four-manifolds

Giovanni Calvaruso, Reinier Storm, Joeri Van der Veken

We classify totally geodesic and parallel hypersurfaces of four-dimensional non-reductive homogeneous pseudo-Riemannian manifolds.

Hypersurfaces of S3×R and H3×R with constant principal curvatures