English

Free boundary minimal annuli in convex three-manifolds

Differential Geometry 2013-12-23 v1 Analysis of PDEs

Abstract

We prove the existence of free boundary minimal annuli inside suitably convex subsets of three-dimensional Riemannian manifolds with nonnegative Ricci curvature - including strictly convex domains of the Euclidean space R3\mathbb{R}^3.

Keywords

Cite

@article{arxiv.1312.5392,
  title  = {Free boundary minimal annuli in convex three-manifolds},
  author = {Davi Maximo and Ivaldo Nunes and Graham Smith},
  journal= {arXiv preprint arXiv:1312.5392},
  year   = {2013}
}