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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…