Min-max minimal hypersurfaces in non-compact manifolds
Differential Geometry
2014-05-16 v1
Abstract
In this work we prove the existence of embedded closed minimal hypersurfaces in non-compact manifolds containing a bounded open subset with smooth and strictly mean-concave boundary and a natural behavior on the geometry at infinity. For doing this, we develop a modified min-max theory for the area functional following Almgren and Pitts' setting, to produce minimal surfaces with intersecting properties.
Cite
@article{arxiv.1405.3712,
title = {Min-max minimal hypersurfaces in non-compact manifolds},
author = {Rafael Montezuma},
journal= {arXiv preprint arXiv:1405.3712},
year = {2014}
}
Comments
41 pages, 2 figures. arXiv admin note: text overlap with arXiv:1202.6036 by other authors