A note on minimal surfaces with bounded index
Differential Geometry
2018-12-31 v1 Geometric Topology
Abstract
For any closed Riemannian three-manifold, we prove that for any sequence of closed embedded minimal surfaces with uniformly bounded index, the genus can only grow at most linearly with respect to the area.
Cite
@article{arxiv.1812.10728,
title = {A note on minimal surfaces with bounded index},
author = {Davi Maximo},
journal= {arXiv preprint arXiv:1812.10728},
year = {2018}
}