Triply periodic minimal surfaces bounded by vertical symmetry planes

Shoichi Fujimori, Matthias Weber

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

We give a uniform and elementary treatment of many classical and new triply periodic minimal surfaces in Euclidean space, based on a Schwarz-Christoffel formula for periodic polygons in the plane. Our surfaces share the property that vertical symmetry planes cut them into simply connected pieces.

Original languageEnglish
Pages (from-to)29-53
Number of pages25
JournalManuscripta Mathematica
Volume129
Issue number1
DOIs
Publication statusPublished - May 2009
Externally publishedYes

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Minimal surface
Vertical
Symmetry
Polygon
Euclidean space

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Triply periodic minimal surfaces bounded by vertical symmetry planes. / Fujimori, Shoichi; Weber, Matthias.

In: Manuscripta Mathematica, Vol. 129, No. 1, 05.2009, p. 29-53.

Research output: Contribution to journalArticle

Fujimori, Shoichi ; Weber, Matthias. / Triply periodic minimal surfaces bounded by vertical symmetry planes. In: Manuscripta Mathematica. 2009 ; Vol. 129, No. 1. pp. 29-53.
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