Submanifolds with constant Jordan angles
Differential Geometry
2015-03-24 v2
Abstract
To study the Lawson-Osserman's counterexample to the Bernstein problem for minimal submanifolds of higher codimension, a new geometric concept, submanifolds in Euclidean space with constant Jordan angles(CJA), is introduced. By exploring the second fundamental form of submanifolds with CJA, we can characterize the Lawson-Osserman's cone from the viewpoint of Jordan angles.
Keywords
Cite
@article{arxiv.1502.02797,
title = {Submanifolds with constant Jordan angles},
author = {J. Jost and Y. L. Xin and Ling Yang},
journal= {arXiv preprint arXiv:1502.02797},
year = {2015}
}
Comments
43 pages, 1 figure