English

A maximum principle for free boundary minimal varieties of arbitrary codimension

Differential Geometry 2020-01-06 v2 Analysis of PDEs

Abstract

We establish a boundary maximum principle for free boundary minimal submanifolds in a Riemannian manifold with boundary, in any dimension and codimension. Our result holds more generally in the context of varifolds.

Keywords

Cite

@article{arxiv.1708.05001,
  title  = {A maximum principle for free boundary minimal varieties of arbitrary codimension},
  author = {Martin Li and Xin Zhou},
  journal= {arXiv preprint arXiv:1708.05001},
  year   = {2020}
}

Comments

revised version, to appear in Comm. Anal. Geom