Isotropic Lagrangian submanifolds in the homogeneous nearly Khler S3× S3

被引：0

作者：

HU ZeJun ^{[1
]}

ZHANG YinShan ^{[1
,2
]}

机构：

[1] School of Mathematics and Statistics, Zhengzhou University

[2] School of Sciences, Henan University of Engineering

来源：

Science China Mathematics | 2017年 / 60卷 / 04期

基金：

中国国家自然科学基金;

关键词：

nearly Khler S~3× S~3; Lagrangian submanifold; isotropic submanifold; J-parallel; totally geodesic;

D O I：

暂无

中图分类号：

O186.12 [黎曼几何];

学科分类号：

070104 ;

摘要：

We show that isotropic Lagrangian submanifolds in a 6-dimensional strict nearly Khler manifold are totally geodesic. Moreover, under some weaker conditions, a complete classification of the J-isotropic Lagrangian submanifolds in the homogeneous nearly Khler S3× S3is also obtained. Here, a Lagrangian submanifold is called J-isotropic, if there exists a function λ, such that g((▽h)(v, v, v), J v) = λ holds for all unit tangent vector v.

引用

页码：671 / 684

页数：14

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