Positively curved manifolds with fixed point cohomogeneity one
Commun. Korean Math. Soc. 2006 Vol. 21, No. 1, 151-163
Printed March 1, 2006
Chang-Wan Kim
Korea Institute for Advanced Study (KIAS)
Abstract : Any simply connected fixed point cohomogeneity one riemannian manifold with positive sectional curvature is diffeomorphic to one of the compact rank one symmetric spaces.
Keywords : positive curvature, transformation groups, fixed point cohomogeneity
MSC numbers : 53C20, 53C30, 53C40
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