THREE-DIMENSIONAL CR-SUBMANIFOLDS IN THE NEARLY KÄHLER 6-SPHERE WITH ONE-DIMENSIONAL NULLITY

DOI10.1142/S0129167X09005212zbMath1205.53018OpenAlexW1998877643MaRDI QIDQ3622810

Mirjana Djoric, Luc Vrancken

Publication date: 28 April 2009

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

Full work available at URL: https://doi.org/10.1142/s0129167x09005212

zbMATH Keywords

CR-submanifoldsnullity distributionnearly Kähler six-sphere

Mathematics Subject Classification ID

Global submanifolds (53C40) Local submanifolds (53B25)

Related Items (5)

Four-dimensional CR submanifolds of the sphere \(\mathbf{S}^{6}(1)\) with two-dimensional nullity distribution ⋮ A class of four dimensional CR submanifolds of the sphere \(\mathbf{S}^6(1)\) ⋮ On the six-dimensional sphere with a nearly Kählerian structure ⋮ CR submanifolds of the nearly Kähler \(\mathbb {S}^3\times \mathbb {S}^3\) characterised by properties of the almost product structure ⋮ CR-Submanifolds of the Nearly Kähler 6-Sphere

Cites Work

• Almost complex submanifolds of a 6-dimensional sphere
• Calibrated geometries
• Framing the exceptional Lie group \(G_2\)
• On problems of U. Simon concerning minimal submanifolds of the nearly Kaehler 6-sphere
• ON ALMOST COMPLEX CURVES IN THE NEARLY KÄHLER 6-SPHERE
• On some 3-dimensional CR submanifolds inS⁶
• Totally real submanifolds in $S^6(1)$ satisfying Chen’s equality

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