On completeness of integral manifolds of nullity distributions
Differential Geometry
2011-04-08 v1
Abstract
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.
Cite
@article{arxiv.1104.1412,
title = {On completeness of integral manifolds of nullity distributions},
author = {Carlos Olmos and Francisco Vittone},
journal= {arXiv preprint arXiv:1104.1412},
year = {2011}
}