Totally Real Minimal Surfaces with Non-Circular Ellipse of Curvature in the Nearly Kähler S 6

DOI10.1112/S0024610797005541zbMath0906.53009OpenAlexW2126535218MaRDI QIDQ4399234

Lyndon M. Woodward, John Bolton, Luc Vrancken

Publication date: 16 February 1999

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s0024610797005541

zbMATH Keywords

minimal surfacestotally real submanifoldsnearly Kähler 6-spherecurvature ellipseone-parameter subgroups of \(G_2\)

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Local submanifolds (53B25)

Related Items (8)

Surfaces in \(\mathbb {R}^7\) obtained from harmonic maps in \(S^6\) ⋮ Surfaces of the nearly Kähler S3×S3${\bf \mathbb {S}^3\times \mathbb {S}^3}$ preserved by the almost product structure ⋮ Real hypersurfaces in nearly Kaehler 6-sphere ⋮ Three-dimensional CR submanifolds of the nearly Kähler \(\mathbb {S}^3\times \mathbb {S}^3\) ⋮ CR submanifolds of the nearly Kähler \(\mathbb {S}^3\times \mathbb {S}^3\) characterised by properties of the almost product structure ⋮ Three-dimensional minimal CR submanifolds in \(S^{6}\) satisfying Chen's equality ⋮ Transforms for minimal surfaces in the 5-sphere ⋮ Killing vector fields and Lagrangian submanifolds of the nearly Kaehler \(S^6\)

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