Four-dimensional CR submanifolds of the sphere \(\mathbf{S}^{6}(1)\) with two-dimensional nullity distribution

DOI10.1016/j.jmaa.2016.07.072zbMath1348.53017OpenAlexW2497195362MaRDI QIDQ323776

Miroslava Antić

Publication date: 10 October 2016

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2016.07.072

zbMATH Keywords

CR submanifoldnearly Kähler 6-spherenullity distribution

Mathematics Subject Classification ID

General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Embeddings of CR manifolds (32V30) Local submanifolds (53B25)

Related Items (1)

A class of four-dimensional CR submanifolds in six dimensional nearly Kähler manifolds

Cites Work

• A class of four dimensional CR submanifolds of the sphere \(\mathbf{S}^6(1)\)
• 4-dimensional minimal CR submanifolds of the sphere \(\mathbf S^6\) contained in a totally geodesic sphere \(\mathbf S^5\)
• Calibrated geometries
• 4-dimensional minimal CR submanifolds of the sphere \(S^{6}\) satisfying Chen's equality
• THREE-DIMENSIONAL CR-SUBMANIFOLDS IN THE NEARLY KÄHLER 6-SPHERE WITH ONE-DIMENSIONAL NULLITY
• Almost Complex Submanifolds of the Six Sphere
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