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Characterization of Totally Geodesic Totally Real 3–dimensional Submanifolds in the 6–sphere
- Source :
- Acta Mathematica Sinica, English Series. 22:1557-1564
- Publication Year :
- 2006
- Publisher :
- Springer Science and Business Media LLC, 2006.
-
Abstract
- In this paper, we study Lagrangian submanifolds of the nearly Kaehler 6–sphere. We derive a pinching result for the Ricci curvature of such submanifolds thus providing a characterisation of the totally geodesic submanifold. Our pinching result improves a previous result obtained by H. Li.
- Subjects :
- Mathematics::Complex Variables
Applied Mathematics
General Mathematics
Mathematical analysis
Characterization (mathematics)
Submanifold
symbols.namesake
Physics::Plasma Physics
symbols
Totally geodesic
Mathematics::Differential Geometry
Mathematics::Symplectic Geometry
Ricci curvature
Lagrangian
Mathematics
Subjects
Details
- ISSN :
- 14397617 and 14398516
- Volume :
- 22
- Database :
- OpenAIRE
- Journal :
- Acta Mathematica Sinica, English Series
- Accession number :
- edsair.doi...........8e6c0800ac34aa9677fdd994fa23570a
- Full Text :
- https://doi.org/10.1007/s10114-005-0798-8