Compactness analysis for free boundary minimal hypersurfaces
Differential Geometry
2018-01-09 v3
Abstract
We investigate compactness phenomena involving free boundary minimal hypersurfaces in Riemannian manifolds of dimension less than eight. We provide natural geometric conditions that ensure strong one-sheeted graphical subsequential convergence, discuss the limit behaviour when multi-sheeted convergence happens and derive various consequences in terms of finiteness and topological control.
Cite
@article{arxiv.1705.06255,
title = {Compactness analysis for free boundary minimal hypersurfaces},
author = {Lucas Ambrozio and Alessandro Carlotto and Ben Sharp},
journal= {arXiv preprint arXiv:1705.06255},
year = {2018}
}
Comments
final version, to appear in Calc. Var. Partial Differential Equations