On Ricci curvature pinching of Lagrangian submanifolds in the homogeneous nearly Kähler \(\mathbb{S}^6(1)\)
DOI10.1007/S00025-020-1179-4zbMath1437.53030OpenAlexW3009664118WikidataQ125759445 ScholiaQ125759445MaRDI QIDQ2175516
Jiabin Yin, Zeke Yao, Ze-Jun Hu
Publication date: 29 April 2020
Published in: Results in Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00025-020-1179-4
Lagrangian submanifoldnearly Kähler 6-sphereRicci curvature pinchingDillen-Verstraelen-Vrancken's Berger sphere
Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Rigidity results (53C24) Local differential geometry of Hermitian and Kählerian structures (53B35) Lagrangian submanifolds; Maslov index (53D12)
Related Items (1)
Cites Work
- Unnamed Item
- New \(\mathrm{G}_2\)-holonomy cones and exotic nearly Kähler structures on \(S^6\) and \(S^3\times S^3\)
- An intrinsic rigidity theorem for minimal submanifolds in a sphere
- Compact minimal submanifolds of a sphere with positive Ricci curvature
- The Ricci curvature of totally real 3-dimensional submanifolds of the nearly Kaehler 6-sphere
- On J-parallel totally real three-dimensional submanifolds of \(S^{6}\)(1)
- Rigidity theorems of Lagrangian submanifolds in the homogeneous nearly Kähler \(\mathbb{S}^6(1)\)
- Characterization of totally geodesic totally real 3-dimensional submanifolds in the 6-sphere
- Classification of totally real 3-dimensional submanifolds of \(S^ 6(1)\) with K\(\geq 1/16\)
- Totally Real Submanifolds in a 6-Sphere
- Curvature Pinching for Three-Dimensional Minimal Submanifolds in a Sphere
- On Totally Real 3-Dimensional Submanifolds of the Nearly Kaehler 6-Sphere
- Minimal Submanifolds of a Sphere with Second Fundamental Form of Constant Length
This page was built for publication: On Ricci curvature pinching of Lagrangian submanifolds in the homogeneous nearly Kähler \(\mathbb{S}^6(1)\)
