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arXiv · 0802.0805

Submanifolds of codimension two attaining equality in an extrinsic inequality

Marcos Dajczer Ruy Tojeiro
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Abstract

We provide a parametric construction in terms of minimal surfaces of the Euclidean submanifolds of codimension two and arbitrary dimension that attain equality in an inequality due to De Smet, Dillen, Verstraelen and Vrancken. The latter involves the scalar curvature, the norm of the normal curvature tensor and the length of the mean curvature vector.

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Marcos Dajczer Ruy Tojeiro. 2008-02-06. Submanifolds of codimension two attaining equality in an extrinsic inequality. https://arxiv.org/abs/0802.0805

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