Periodic minimal surfaces in semidirect products
Differential Geometry
2019-02-20 v1
Abstract
In this paper we prove existence of complete minimal surfaces in some metric semidirect products. These surfaces are similar to the doubly and singly periodic Scherk minimal surfaces in . In particular, we obtain these surfaces in the Heisenberg space with its canonical metric, and in Sol3 with a one-parameter family of non-isometric metrics.
Keywords
Cite
@article{arxiv.1309.2552,
title = {Periodic minimal surfaces in semidirect products},
author = {Ana Menezes},
journal= {arXiv preprint arXiv:1309.2552},
year = {2019}
}
Comments
To appear in the Journal of the Australian Mathematical Society