C^1-regularity for local graph representations of immersions
Differential Geometry
2012-01-25 v1
Abstract
We consider immersions admitting uniform graph representations over the affine tangent space over a ball of fixed radius r>0. We show that for sufficiently small C^0-norm of the graph functions, each graph function is smooth with small C^1-norm.
Cite
@article{arxiv.1201.5074,
title = {C^1-regularity for local graph representations of immersions},
author = {Patrick Breuning},
journal= {arXiv preprint arXiv:1201.5074},
year = {2012}
}