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

作　　者：Miroslava ANTIC Mirjana DJORIC Luc VRANCKEN 

机构地区：[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

出　　处：《Acta Mathematica Sinica,English Series》2006年第5期1557-1564,共8页数学学报（英文版）

基　　金：Research partially supported by the Ministry of Science and Environmental Protectipn of Serbia, Project 1646;Research partially supported by EGIDE, Pavle Savic 07945VC(France)

摘　　要：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.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.

关 键 词：Ricci curvature totally real submanifold nearly Kaehler 6-sphere totally geodesic submanifold 

分 类 号：O186.12[理学—数学]