English

Inequivalent complexity criteria for free boundary minimal surfaces

Differential Geometry 2020-07-16 v3

Abstract

We obtain a series of results in the global theory of free boundary minimal surfaces, which in particular provide a rather complete picture for the way different complexity criteria, such as area, topology and Morse index compare, beyond the regime where effective estimates are at disposal.

Keywords

Cite

@article{arxiv.1908.04709,
  title  = {Inequivalent complexity criteria for free boundary minimal surfaces},
  author = {Alessandro Carlotto and Giada Franz},
  journal= {arXiv preprint arXiv:1908.04709},
  year   = {2020}
}

Comments

Final preprint version, to appear in Advances in Mathematics

R2 v1 2026-06-23T10:46:28.445Z