Submanifolds with constant Jordan angles
classification
🧮 math.DG
keywords
submanifoldsanglesjordanconstantlawson-ossermanbernsteincharacterizecodimension
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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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