| Characterization of Totally Geodesic Totally Real 3-dimensional Submanifolds in the 6-sphere |
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| 作者姓名： | Miroslava ANTIC Mirjana DJORIC Luc VRANCKEN |
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| 作者单位： | [1]Faculty of Mathematics, University of Belgrade, Studentski try 16, pb. 550, 11000 Belgrade, Serbia and Montenegro [2]LAMATH, ISTV2, Université de Valenciennes, Campus du Mont Houy, 59313 Valenciennes Cedex 9, France |
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| 基金项目： | Research partially supported by the Ministry of Science and Environmental Protection of Serbia, Project 1646;Research partially supported by EGIDE, Pavle Savic 07945VC（France）. |
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| 摘 要： |
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| 关 键 词： | Ricci曲率 完全真实子流形 完全测量子流形 拉格朗日子流形 |
| 收稿时间： | 2004-11-11 |
| 修稿时间： | 2004-11-112005-06-28 |
Characterization of Totally Geodesic Totally Real 3–dimensional Submanifolds in the 6–sphere |
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| Miroslava ANTIC Mirjana DJORIC Luc VRANCKEN.Characterization of Totally Geodesic Totally Real 3-dimensional Submanifolds in the 6-sphere[J].Acta Mathematica Sinica,2006,22(5):1557-1564. |
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| Authors: | Miroslava Anti? Mirjana Djori? Luc Vrancken |
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| Institution: | (1) Faculty of Mathematics, University of Belgrade, Studentski trg 16, 550, 11000 Belgrade, Serbia and Montenegro;(2) LAMATH, ISTV2, Université de Valenciennes, Campus du Mont Houy, 59313 Valenciennes Cedex 9, France |
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| 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. |
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| Keywords: | Ricci curvature totally real submanifold nearly Kaehler 6-sphere totally geodesic submanifold |
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