Lagrangian submanifolds attaining equality in the improved Chen's inequality

被引：20
作者：
Bolton, J. [1 ]
Vrancken, L.
机构：
[1] Univ Durham, Dept Math Sci, Durham DH1 3LE, England
[2] Univ Valenciennes, LAMATH, ISTV2, F-59313 Valenciennes 9, France
来源：
BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN | 2007年 / 14卷 / 02期
关键词：
Lagrangian submanifold; complex projective space; Chen inequality;
D O I：
10.36045/bbms/1179839222
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In [7] Oprea gave an improved version of Chen's inequality for Lagrangian submanifolds of CPn(4). For minimal submanifolds this inequality coincides with a previous version proved in [5]. We consider here those non-minimal 3-dimensional Lagrangian submanifolds in CP3(4) attaining at all points equality in the improved Chen inequality. We show how all such submanifolds may be obtained starting from a minimal Lagrangian surface in CP2(4).
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收藏
页码：311 / 315
页数：5
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