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arXiv · 1309.2552

Periodic minimal surfaces in semidirect products

Ana Menezes
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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 $\mathbb R^3$. 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.

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Ana Menezes. 2013-09-10. Periodic minimal surfaces in semidirect products. https://doi.org/10.1017/s1446788713000530

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