English

Non-periodic Riemann examples with handles

Differential Geometry 2010-12-01 v1

Abstract

We show the existence of 1-parameter families of non-periodic, complete, embedded minimal surfaces in euclidean space with infinitely many parallel planar ends. In particular we are able to produce finite genus examples and quasi-periodic examples of infinite genus.

Keywords

Cite

@article{arxiv.1011.6539,
  title  = {Non-periodic Riemann examples with handles},
  author = {Filippo Morabito and Martin Traizet},
  journal= {arXiv preprint arXiv:1011.6539},
  year   = {2010}
}
R2 v1 2026-06-21T16:51:02.258Z