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).

引用

页码：311 / 315

页数：5

共 9 条

[1] From surfaces in the 5-sphere to 3-manifolds in complex projective 3-space [J].