New minimal surfaces in \(\mathbb S^3\) desingularizing the Clifford tori

DOI10.1007/s00208-015-1239-3zbMath1341.49052OpenAlexW986469015MaRDI QIDQ261402

Jaigyoung Choe, Marc Soret

Publication date: 23 March 2016

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00208-015-1239-3

zbMATH Keywords

Clifford torusminimal surfaceseven surfacesodd surfaces

Mathematics Subject Classification ID

Minimal surfaces and optimization (49Q05) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10)

Related Items (8)

Minimal surfaces in the three-sphere by desingularizing intersecting Clifford tori ⋮ Two-point functions and their applications in geometry ⋮ The Lawson surfaces are determined by their symmetries and topology ⋮ Morse index, Betti numbers, and singular set of bounded area minimal hypersurfaces ⋮ Compact embedded minimal surfaces in the Berger sphere ⋮ Virtual immersions and minimal hypersurfaces in compact symmetric spaces ⋮ Minimal surfaces in $$S^3$$ : a survey of recent results ⋮ Free boundary minimal surfaces in the unit three-ball via desingularization of the critical catenoid and the equatorial disc

Cites Work

• New minimal surfaces in S 3
• Complete minimal surfaces in \(S^ 3\)
• Minimal surfaces in the three-sphere by doubling the Clifford torus
• Doubling and Desingularization Constructions for Minimal Surfaces
• Unnamed Item

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