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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
Lagrangian submanifolds attaining equality in the improved Chen's inequality
John Bolton, Luc Vrancken
Recently Oprea gave an improved version of Chen's inequality for Lagrangian submanifolds of . For minimal submanifolds this inequality coincides with the original…