Cylindricity of complete Euclidean submanifolds with relative nullity
Differential Geometry
2015-08-28 v1
Abstract
We show that a complete Euclidean submanifold with minimal index of relative nullity and Ricci curvature with a certain controlled decay must be a -cylinder. This is an extension of the classical Hartman cylindricity theorem.
Keywords
Cite
@article{arxiv.1508.06765,
title = {Cylindricity of complete Euclidean submanifolds with relative nullity},
author = {Felippe Soares GuimarÃes and Guilherme Machado De Freitas},
journal= {arXiv preprint arXiv:1508.06765},
year = {2015}
}