English

Barriers to Topologically Minimal Surfaces

Geometric Topology 2009-03-11 v1

Abstract

In earlier work we introduced topologically minimal surfaces as the analogue of geometrically minimal surfaces. Here we strengthen the analogy by showing that complicated amalgamations act as barriers to low genus, topologically minimal surfaces.

Keywords

Cite

@article{arxiv.0903.1692,
  title  = {Barriers to Topologically Minimal Surfaces},
  author = {David Bachman},
  journal= {arXiv preprint arXiv:0903.1692},
  year   = {2009}
}

Comments

13 pages, 1 figure

R2 v1 2026-06-21T12:20:08.695Z