Three-dimensional minimal CR submanifolds of the sphere \(S^6(1)\) contained in a hyperplane
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Publication:892131
DOI10.1007/S00009-015-0530-6zbMath1332.53024OpenAlexW2009342913MaRDI QIDQ892131
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
minimal submanifoldCR submanifoldnearly Kähler six-sphere\(\mathcal {D}\)-geodesic submanifoldlinearly full
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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