STRUCTURE LIE OPERATOR ON REAL HYPERSURFACES OF COMPLEX TWO-PLANE GRASSMANNIANS

被引：5
|
作者：
Wang, Yaning [1 ]
机构：
[1] Henan Normal Univ, Sch Math & Informat Sci, Xinxiang 453007, Henan, Peoples R China
来源：
COLLOQUIUM MATHEMATICUM | 2022年 / 170卷 / 02期
关键词：
real hypersurface; complex two-plane Grassmannians; structure Lie operator;
D O I：
10.4064/cm8558-1-2022
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
It is proved that on a real hypersurface M in the complex two-plane Grassmannian G(2)(Cm+2), the structure Lie operator is parallel if and only if M is an open part of a tube around a totally geodesic G(2)(Cm+1) in G(2)(Cm+2)
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页码：315 / 320
页数：6
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