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Cohomogeneity one Riemannian manifolds of constantpositive curvature
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Abstract
In this paper we study non-simply connected Riemannianmanifolds of constant positive curvature which have an orbit of codimen-sion one under the action of a connected closed Lie subgroup of isometries.When the action is reducible we characterize the orbits explicitly. We alsoprove that in some cases the manifold is homogeneous.
참고문헌 (9)
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- "Spaces of constant curvature", McGraw-Hill Book Co.
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