English

A limit-method for solving period problems on minimal surfaces

Differential Geometry 2008-06-20 v1

Abstract

We introduce a new technique to solve period problems on minimal surfaces called limit-method. If a family of surfaces has Weierstrass-data converging to the data of a known example, and this presents a transversal solution of periods, then the original family contains a sub-family with closed periods.

Keywords

Cite

@article{arxiv.0806.3086,
  title  = {A limit-method for solving period problems on minimal surfaces},
  author = {Valerio Ramos-Batista and Kelly Lubeck},
  journal= {arXiv preprint arXiv:0806.3086},
  year   = {2008}
}
R2 v1 2026-06-21T10:52:15.506Z