Characterization of Totally Geodesic Totally Real 3-dimensional Submanifolds in the 6-sphere

被引：0
|
作者：
Miroslava ANTIC [1 ]
Mirjana DJORIC [1 ]
Luc VRANCKEN [2 ]
机构：
[1] Faculty of Mathematics, University of Belgrade,Studentski trg 16, pb. 550, 11000 Belgrade, Serbia and Montenegro
[2] LAMATH ISTV2, Université de Valenciennes, Campus du Mont Houy,59313 Valenciennes Cedex 9, France
来源：
Acta Mathematica Sinica,English Series | 2006年 / 22卷 / 05期
关键词：
Ricci curvature; totally real submanifold; nearly Kaehler 6-sphere; totally geodesic submanifold;
D O I：
暂无
中图分类号：
O186.12 [黎曼几何];
学科分类号：
070104 ;
摘要：
In this paper, we study Lagrangian submanifolds of the nearly Kaehler 6-sphere. We derivea pinching result for the Ricci curvature of such submanifolds thus providing a characterisation of thetotally geodesic submanifold. Our pinching result improves a previous result obtained by H. Li.
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页码：1557 / 1564
页数：8
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