Classification of doubly-periodic minimal surfaces of genus zero

DOI10.1007/S002220000085zbMath1031.53018MaRDI QIDQ1592910

Hippolyte Lazard-Holly, William Hamilton III Meeks

Publication date: 4 March 2004

Published in: Inventiones Mathematicae (Search for Journal in Brave)

zbMATH Keywords

Scherk surfacesquotient surfacesdoubly-periodic minimal surfaces

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Related Items (11)

Explicit form of parametric polynomial minimal surfaces with arbitrary degree ⋮ A remark on limits of triply periodic minimal surfaces of genus 3 ⋮ Higher Genus Doubly Periodic Minimal Surfaces ⋮ The space of doubly periodic minimal tori with parallel ends: standard examples ⋮ Rigidity theorems of minimal surfaces foliated by similar planar curves ⋮ On limits of triply periodic minimal surfaces ⋮ A characterisation of the Hoffman-Wohlgemuth surfaces in terms of their symmetries ⋮ Harmonic shears of elliptic integrals ⋮ The classification of singly periodic minimal surfaces with genus zero and Scherk-type ends ⋮ Minimal surfaces with the area growth of two planes: The case of infinite symmetry ⋮ A new deformation family of Schwarz’ D surface

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