The topological uniqueness of triply periodic minimal surfaces in \(R^ 3\)

DOI10.4310/jdg/1214444098zbMath0689.53002OpenAlexW1483885407WikidataQ115182321 ScholiaQ115182321MaRDI QIDQ581847

Charles D. Frohman

Publication date: 1990

Published in: Journal of Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/jdg/1214444098

zbMATH Keywords

Heegard splittingstriply 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 (14)

HEEGAARD SPLITTINGS OF TRIVIAL ARCS IN COMPRESSION BODIES ⋮ Heegaard surfaces for certain graphs in compressionbodies ⋮ Local detection of strongly irreducible Heegaard splittings via knot exteriors. ⋮ On non-compact Heegaard splittings ⋮ The topological uniqueness of complete one-ended minimal surfaces and Heegaard surfaces in ℝ³ ⋮ Heegaard splittings, the virtually Haken conjecture and property \((\tau)\) ⋮ The topology of complete one-ended minimal surfaces and Heegaard surfaces in 𝑅³ ⋮ Genus two \(3\)-manifolds are built from handle number one pieces ⋮ Almost normal surfaces in 3-manifolds ⋮ Meridional almost normal surfaces in knot complements ⋮ The stabilization problem for Heegaard splittings of Seifert fibered spaces ⋮ Local detection of strongly irreducible Heegaard splittings ⋮ Heegaard splittings of exteriors of two bridge knots ⋮ Heegaard splittings of \((\text{surface})\times I\) are standard

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