On completeness of integral manifolds of nullity distributions

Details On completeness of integral manifolds of nullity distributions On completeness of integral manifolds of nullity distributions

2011-04-07

arxiv.org/abs/1104.1412v1

Mathematics

Differential Geometry

Scientific paper

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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