English

Boundary Curves of Free Boundary Minimal Surfaces

Differential Geometry 2019-10-23 v1

Abstract

In this paper we investigate free boundary minimal surfaces in the unit ball in Euclidean 3-space, and by using holomorphic techniques we prove that intersection curves of free boundary minimal surfaces with the unit sphere are all circles.

Keywords

Cite

@article{arxiv.1910.09958,
  title  = {Boundary Curves of Free Boundary Minimal Surfaces},
  author = {Zuhuan Yu},
  journal= {arXiv preprint arXiv:1910.09958},
  year   = {2019}
}

Comments

11 pages. arXiv admin note: substantial text overlap with arXiv:1910.01958