On cohomogeneity one nonsimply connected 7-manifolds of constant positive curvature

Document Type : Research Paper


1 ‎Department of Pure Mathematics, ‎Faculty of Mathematical Sciences, ‎Tarbiat Modares University, ‎P.O. Box ‎14115-134‎, ‎Tehran‎, ‎Iran.

2 Tarbiat Modares University

3 Mathematics Group‎, ‎School of Sciences Bu-Ali Sina University, Hamedan‎, ‎Iran.


In this paper, we give a classification of non simply connected seven dimensional Reimannian manifolds of constant positive curvature which admit irreducible cohomogeneity-one actions. We characterize the acting groups and describe the orbits. The first and second homo-
topy groups of the orbits have been presented as well.


Main Subjects

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