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Currently displaying 1 – 3 of 3

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Affine umbilical surfaces in R4.

M. Magid; C. Scharlach; L. Vrancken — 1995

Manuscripta mathematica

A pointwise inequality in submanifold theory

P. J. De Smet; F. Dillen; Leopold C. A. Verstraelen; L. Vrancken — 1999

Archivum Mathematicum

We obtain a pointwise inequality valid for all submanifolds $M^{n}$ of all real space forms $N^{n + 2} (c)$ with $n \geq 2$ and with codimension two, relating its main scalar invariants, namely, its scalar curvature from the intrinsic geometry of $M^{n}$ , and its squared mean curvature and its scalar normal curvature from the extrinsic geometry of $M^{n}$ in $N^{m} (c)$ .

The semiring of immersions of manifolds.

Decruyenaere, F.; Dillen, F.; Verstraelen, L.; Vrancken, L. — 1993

Beiträge zur Algebra und Geometrie

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