English

Screw Motion Invariant Minimal Surfaces from Gluing Helicoids

Differential Geometry 2021-11-09 v1

Abstract

We consider families of embedded, screw motion invariant minimal surfaces in R3\R^3 which limit to parking garage structures. We derive balance equations for the nodal limit and regenerate to obtain surfaces corresponding to solutions. We thus prove the existence of many new examples with helicoidal or planar ends.

Keywords

Cite

@article{arxiv.2111.03909,
  title  = {Screw Motion Invariant Minimal Surfaces from Gluing Helicoids},
  author = {Daniel Freese},
  journal= {arXiv preprint arXiv:2111.03909},
  year   = {2021}
}

Comments

28 pages, 20 figures

R2 v1 2026-06-24T07:28:55.773Z