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.

引用

页码：1557 / 1564

页数：8

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