The space of embedded minimal surfaces of fixed genus in a 3manifold I;
Estimates off the axis for disks
Tobias H. Colding, William P. Minicozzi II,
2002.10.07
http://arxiv.org/abs/math/0210106
This paper is the first in a series where we attempt to give a complete
description of the space of all embedded minimal surfaces of fixed genus in a
fixed (but arbitrary) closed Riemannian 3manifold. The key for understanding
such surfaces is to understand the local structure in a ball and in particular
the structure of an embedded minimal disk in a ball in $\RR^3$ (with the flat
metric).
