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

نویسندگان

m. zarei

‎department of pure mathematics, ‎faculty of mathematical sciences, ‎tarbiat modares university, ‎p.o. box ‎14115-134‎, ‎tehran‎, ‎iran. s.m.b. kashani

tarbiat modares university h. abedi

mathematics group‎, ‎school of sciences bu-ali sina university, hamedan‎, ‎iran.

چکیده

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:
bulletin of the iranian mathematical society

جلد ۴۲، شماره ۳، صفحات ۵۶۵-۵۸۴

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