Density estimates for compact surfaces with total boundary curvature less than 4pi
Differential Geometry
2011-05-11 v1
Abstract
In this paper we obtain density estimates for compact surfaces immersed in R^n with total boundary curvature less than 4pi and with sufficiently small L^p norm of the mean curvature, p>2. Our results generalize the main results in [2]. We then apply our estimates to discuss the geometry and topology of such surfaces.
Cite
@article{arxiv.1105.1972,
title = {Density estimates for compact surfaces with total boundary curvature less than 4pi},
author = {Theodora Bourni and Giuseppe Tinaglia},
journal= {arXiv preprint arXiv:1105.1972},
year = {2011}
}
Comments
15 pages