Some classes of CR submanifolds with an umbilical section of the nearly Kähler \(\mathbb{S}^3\times\mathbb{S}^3\)
DOI10.1016/J.GEOMPHYS.2020.104002zbMath1456.53019OpenAlexW3096084563MaRDI QIDQ2220122
Publication date: 21 January 2021
Published in: Journal of Geometry and Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.geomphys.2020.104002
totally geodesicminimal submanifoldsnearly Kähler \(\mathbb{S}^3 \times \mathbb{S}^3\)CR submanifoldumbilical submanifolds
Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Local differential geometry of Hermitian and Kählerian structures (53B35) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Embeddings of CR manifolds (32V30)
Cites Work
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- 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
- Flat almost complex surfaces in the homogeneous nearly Kähler \(S^3\times S^3\)
- Almost complex surfaces in the nearly Kähler \(S^3\times S^3\)
- Classification of totally real 3-dimensional submanifolds of \(S^ 6(1)\) with K\(\geq 1/16\)
- Properties of the nearly kähler S3×S3
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