Submanifolds of codimension two attaining equality in an extrinsic inequality
Differential Geometry
2008-02-07 v1
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.
Keywords
Cite
@article{arxiv.0802.0805,
title = {Submanifolds of codimension two attaining equality in an extrinsic inequality},
author = {Marcos Dajczer Ruy Tojeiro},
journal= {arXiv preprint arXiv:0802.0805},
year = {2008}
}