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arXiv · 1502.02797

Submanifolds with constant Jordan angles

J. Jost·Y. L. Xin·Ling Yang
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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.

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J. Jost, Y. L. Xin, Ling Yang. 2015-03-23. Submanifolds with constant Jordan angles. https://arxiv.org/abs/1502.02797

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