A remark on limits of triply periodic minimal surfaces of genus 3

DOI10.1016/J.TOPOL.2015.05.014zbMath1332.53013OpenAlexW428745784MaRDI QIDQ898527

Toshihiro Shoda, Shoichi Fujimori, Norio Ejiri

Publication date: 18 December 2015

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2015.05.014

zbMATH Keywords

minimal surfacelimittriply periodic

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Molecular structure (graph-theoretic methods, methods of differential topology, etc.) (92E10)

Related Items (6)

Uniqueness of minimal surfaces, Jacobi fields,and flat structures ⋮ The Morse index of a triply periodic minimal surface ⋮ On limits of triply periodic minimal surfaces ⋮ Existence of the tetragonal and rhombohedral deformation families of the gyroid ⋮ Discrete minimal nets with symmetries ⋮ The geometric invariants for mPCLP/mDCLP family

Cites Work

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• The classification of doubly periodic minimal tori with parallel ends
• Embedded minimal surfaces derived from Scherk's examples
• The triply periodic minimal surfaces of Alan Schoen and their constant mean curvature companions
• The geometry of periodic minimal surfaces
• Limit surfaces of Riemann examples
• Classification of doubly-periodic minimal surfaces of genus zero
• The space of doubly periodic minimal tori with parallel ends: standard examples
• ON A MODULI THEORY OF MINIMAL SURFACES
• The classification of singly periodic minimal surfaces with genus zero and Scherk-type ends
• Parametrization of triply periodic minimal surfaces. I. Mathematical basis of the construction algorithm for the regular class

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