ON COHOMOGENEITY ONE NONSIMPLY CONNECTED 7-MANIFOLDS OF CONSTANT POSITIVE CURVATURE

被引：0
|
作者：
Zarei, M. [1 ]
Kashani, S. M. B. [1 ]
Abedi, H. [2 ]
机构：
[1] Tarbiat Modares Univ, Fac Math Sci, Dept Pure Math, POB 14115-134, Tehran, Iran
[2] Bu Ali Sina Univ, Math Grp, Sch Sci, Hamadan, Iran
来源：
BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY | 2016年 / 42卷 / 03期
关键词：
Positively curved manifold; irreducible representation; co-homogeneity one action; ONE RIEMANNIAN-MANIFOLDS; SECTIONAL CURVATURE; FUNDAMENTAL-GROUPS; EVEN DIMENSION; GEOMETRY;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we give a classification of non-simply connected 7-dimensional Riemannian manifolds of constant positive curvature which admit irreducible cohomogeneity- one actions. We characterize the acting groups and describe the orbits. Also their 1st and 2nd homotopy groups have been presented.
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页码：565 / 584
页数：20
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