On the area of minimal surfaces in a slab
Differential Geometry
2015-03-11 v1
Abstract
Consider a non-planar orientable minimal surface S in a slab which is possibly with genus or with more than two boundary components. We show that there exists a catenoidal waist W in the slab whose flux has the same vertical component as S such that Area(S)>= Area(W), provided the intersections of S with horizontal planes have the same orientation.
Cite
@article{arxiv.1503.02771,
title = {On the area of minimal surfaces in a slab},
author = {Jaigyoung Choe and Benoit Daniel},
journal= {arXiv preprint arXiv:1503.02771},
year = {2015}
}