9 citations · 15 across the 5 of their papers we have counts for
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math.DG2006
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.
math.DG2006★ 9 cited
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…
math.DG2006★ 3 cited
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…