Higher dimensional minimal submanifolds generalizing the catenoid and helicoid

DOI10.2748/tmj/1365452624zbMath1272.53004OpenAlexW2014496182MaRDI QIDQ1949978

Jaigyoung Choe, Jens Hoppe

Publication date: 22 May 2013

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.tmj/1365452624

zbMATH Keywords

minimal submanifoldhelicoidcatenoid

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Optimization of shapes other than minimal surfaces (49Q10)

Related Items (7)

Blackfolds, plane waves and minimal surfaces ⋮ Higher dimensional Schwarz's surfaces and Scherk's surfaces ⋮ Generalizations of the Choe-Hoppe helicoid and Clifford cones in Euclidean space ⋮ Traveling vortex helices for Schrödinger map equations ⋮ Helicoids and catenoids in \(M\times \mathbb{R} \) ⋮ New construction techniques for minimal surfaces ⋮ New characterizations of the helicoid in a cylinder

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