9 citations · 15 across the 8 of their papers we have counts for
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Curvature and Lagrangian submanifolds of the homogeneous nearly Kähler
Michaël Liefsoens, Joeri Van der Veken
A tractable definition of the homogeneous nearly Kähler structure on is given via the Hopf fibration, facilitating explicit computations and analysis. The descripti…
Spheres with parallel mean curvature in
Giel Stas, Joeri Van der Veken
It is known that a surface with parallel mean curvature vector field in a Riemannian product of two surfaces of constant Gaussian curvature carries a holomorphic quadratic differen…
A geometric study of marginally trapped surfaces in space forms and Robertson-Walker spacetimes -- an overview
Kristof Dekimpe, Joeri Van der Veken
A marginally trapped surface in a spacetime is a Riemannian surface whose mean curvature vector is lightlike at every point. In this paper we give an up-to-date overview of the dif…
Surfaces in a pseudo-sphere with harmonic or 1-type pseudo-spherical Gauss map
Burcu Bektaş, Joeri Van der Veken, Luc Vrancken
We give a complete classification of Riemannian and Lorentzian surfaces of arbitrary codimension in a pseudo-sphere whose pseudo-spherical Gauss maps are of 1-type or, in particula…
Umbilical properties of spacelike co-dimension two submanifolds
Nastassja Cipriani, José M. M. Senovilla, Joeri Van der Veken
For Riemannian submanifolds of a semi-Riemannian manifold, we introduce the concepts of \emph{total shear tensor} and \emph{shear operators} as the trace-free part of the correspon…
Constant angle surfaces in the Heisenberg group
Johan Fastenakels, Marian Ioan Munteanu, Joeri Van der Veken
In this article we generalize the notion of constant angle surfaces in S^2 x R and H^2 x R to general Bianchi-Cartan-Vranceanu spaces, i.e. essentially to three-dimensional homogen…