English

Free boundary minimal surfaces with connected boundary and arbitrary genus

Differential Geometry 2022-10-25 v1

Abstract

We employ min-max techniques to show that the unit ball in R3\mathbb{R}^3 contains embedded free boundary minimal surfaces with connected boundary and arbitrary genus.

Keywords

Cite

@article{arxiv.2001.04920,
  title  = {Free boundary minimal surfaces with connected boundary and arbitrary genus},
  author = {Alessandro Carlotto and Giada Franz and Mario B. Schulz},
  journal= {arXiv preprint arXiv:2001.04920},
  year   = {2022}
}
R2 v1 2026-06-23T13:11:05.999Z