Cyclic semi-parallel real hypersurfaces in complex Grassmannians of rank two

被引：0
|
作者：
Li, Dehe [1 ]
Xing, Cheng [2 ,3 ]
Zhang, Lifen [1 ]
机构：
[1] Anyang Normal Univ, Sch Math & Stat, Anyang 455000, Peoples R China
[2] Nankai Univ, Sch Math Sci, Tianjin 300071, Peoples R China
[3] Nankai Univ, LPMC, Tianjin 300071, Peoples R China
来源：
REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS | 2024年 / 118卷 / 01期
关键词：
Complex Grassmannians of rank two; Real hypersurface; Cyclic semi-parallel; ISOMETRIC REEB FLOW; HOPF HYPERSURFACES; 2-PLANE GRASSMANNIANS; SHAPE OPERATOR; SUBMANIFOLDS;
D O I：
10.1007/s13398-023-01507-6
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we investigate the cyclic semi-parallel real hypersurfaces in the complex Grassmannians of rank two, including both the complex Grassmannian SUm+2/S(U2Um) of compact type and the complex Grassmannian SU2,m/S(U2Um) of noncompact type, respectively. As the main result, we shall prove the non-existence of such real hypersurfaces with m >= 3, generalizing the works of Suh (Bull Aust Math Soc 67:493-502, 2003) and Loo (Differ Geom Appl 34:87-102, 2014), with respect to parallel or semi-parallel real hypersurfaces in SUm+2/S(U2Um).
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页数：14
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