9 citations · 15 across the 5 of their papers we have counts for
5 papers
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…
Pseudo-parallel Lagrangian submanifolds are semi-parallel
F. Dillen, J. Van der Veken, L. Vrancken
We prove a conjecture formulated by Pablo M. Chacon and Guillermo A. Lobos in [Pseudo-parallel Lagrangian submanifolds in complex space forms, Differential Geom. Appl.] stating tha…
Three-dimensional submanifolds of $\E^5$ with extremal normal curvature
Franki Dillen, Joeri Van der Veken, Luc Vrancken
The main result of this paper was already obtained in the paper `Some Remarks on the Geometry of Austere Manifolds', by Robert L. Bryant.
Remarks on an inequality involving the normal scalar curvature
Franki Dillen, Johan Fastenakels, Joeri Van der Veken
We study a pointwise inequality for submanifolds in real space forms involving the scalar curvature, the normal scalar curvature and the mean curvature. We translate it into an alg…
Higher order parallel surfaces in three-dimensional homogeneous spaces
Joeri Van der Veken
We give a full classification of higher order parallel surfaces in three-dimensional homogeneous spaces with four-dimensional isometry group, i.e. in the so-called Bianchi-Cartan-V…