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

نویسندگان

  • H. Abedi Mathematics Group‎, ‎School of Sciences Bu-Ali Sina University, Hamedan‎, ‎Iran.
  • M. Zarei ‎Department of Pure Mathematics, ‎Faculty of Mathematical Sciences, ‎Tarbiat Modares University, ‎P.O. Box ‎14115-134‎, ‎Tehran‎, ‎Iran.
چکیده مقاله:

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.

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

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.

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عنوان ژورنال

دوره 42  شماره 3

صفحات  565- 584

تاریخ انتشار 2016-06-01

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