Characterization of totally geodesic totally real 3-dimensional submanifolds in the 6-sphere

DOI10.1007/s10114-005-0798-8zbMath1102.53043OpenAlexW2003082320MaRDI QIDQ2505407

Luc Vrancken, Miroslava Antić, Mirjana Djoric

Publication date: 4 October 2006

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-005-0798-8

zbMATH Keywords

Ricci curvaturetotally geodesic submanifoldtotally real submanifoldnearly Kähler 6-spherepinching results

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global submanifolds (53C40)

Related Items (4)

On Ricci curvature pinching of Lagrangian submanifolds in the homogeneous nearly Kähler \(\mathbb{S}^6(1)\) ⋮ On the Ricci curvature of 3-submanifolds in the unit sphere ⋮ Classification of flat Lagrangian surfaces in complex Lorentzian plane ⋮ Rigidity theorems of Lagrangian submanifolds in the homogeneous nearly Kähler \(\mathbb{S}^6(1)\)

Cites Work

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• On problems of U. Simon concerning minimal submanifolds of the nearly Kaehler 6-sphere
• Totally Real Submanifolds in a 6-Sphere
• On Totally Real 3-Dimensional Submanifolds of the Nearly Kaehler 6-Sphere
• On totally real submanifolds in a nearly Kähler manifold

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