Three-dimensional minimal CR submanifolds of the sphere \(S^6(1)\) contained in a hyperplane

DOI10.1007/S00009-015-0530-6zbMath1332.53024OpenAlexW2009342913MaRDI QIDQ892131

Luc Vrancken, Miroslava Antić

Publication date: 18 November 2015

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-015-0530-6

zbMATH Keywords

minimal submanifoldCR submanifoldnearly Kähler six-sphere\(\mathcal {D}\)-geodesic submanifoldlinearly full

Mathematics Subject Classification ID

Local submanifolds (53B25)

Related Items (6)

Characterization of warped product Lagrangian submanifolds in \(\mathbb{C}^n\) ⋮ A class of four dimensional CR submanifolds of the sphere \(\mathbf{S}^6(1)\) ⋮ 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 ⋮ Ruled three-dimensional CR submanifolds of the sphere S6(1) ⋮ Three-Dimensional CR Submanifolds in $S^6(1)$ with Umbilical Direction Normal to $\mathcal{D}_3$

Cites Work

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• Some pinching and classification theorems for minimal submanifolds
• 4-dimensional minimal CR submanifolds of the sphere \(\mathbf S^6\) contained in a totally geodesic sphere \(\mathbf S^5\)
• Calibrated geometries
• Framing the exceptional Lie group \(G_2\)
• Three-dimensional minimal CR submanifolds in \(S^{6}\) satisfying Chen's equality
• On some 3-dimensional CR submanifolds inS⁶

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