The maximally symmetric surfaces in the 3-torus

DOI10.1007/s10711-017-0218-0zbMath1382.57009OpenAlexW2590677208WikidataQ62387202 ScholiaQ62387202MaRDI QIDQ2406824

Sheng Bai, Vanessa Robins, Chao Wang, Shi Cheng Wang

Publication date: 6 October 2017

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/1885/114523

zbMATH Keywords

triply periodic minimal surfacesknotted and unknotted surfacesmaximal surface symmetrysurfaces in the 3-torus

Mathematics Subject Classification ID

Groups acting on specific manifolds (57S25) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Group actions on manifolds and cell complexes in low dimensions (57M60)

Related Items (2)

Embedding compact surfaces into the 3-dimensional Euclidean space with maximum symmetry ⋮ Maximum orders of cyclic group actions on surfaces extending over the 3-dimensional torus

Cites Work

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• Maximum orders of extendable actions on surfaces
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• Embedding surfaces into \(S^3\) with maximum symmetry
• Unstable minimal surfaces and Heegaard splittings
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• The equivariant Dehn's lemma and loop theorem
• Über Homoeomorphismen \(n\)-dimensionaler Henkelkoerper und endliche Erweiterungen von Schottky-Gruppen
• The conformal structure and geometry of triply periodic minimal surfaces in 𝑅³
• Large automorphism groups of compact Klein surfaces with boundary, I

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