Title of article :
On cohomogeneity one nonsimply connected 7-manifolds of constant positive curvature
Author/Authors :
Zarei ، M. - Tarbiat Modares University , Kashani ، S.M.B. - Tarbiat Modares University , Abedi ، H. - Bu-Ali Sina University
Abstract :
In this paper, we give a classi cation 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.
Keywords :
Positively curved manifold , irreducible representation , cohomogeneity one action
Journal title :
Bulletin of the Iranian Mathematical Society
Journal title :
Bulletin of the Iranian Mathematical Society