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arxiv: 1104.1412 · v1 · pith:5XK6IFV5new · submitted 2011-04-07 · 🧮 math.DG

On completeness of integral manifolds of nullity distributions

classification 🧮 math.DG
keywords nullitycompleteformintegralmanifoldscompletenessconceptualdistribution
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We give a conceptual proof of the fact that if M is a complete submanifold of a space form, then the maximal integral manifolds of the nullity distribution of its second fundamental form through points of minimal index of nullity are complete.

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