[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/JKMS.2007.44.4.799

COHOMOGENEITY ONE RIEMANNIAN MANIFOLDS OF CONSTANT POSITIVE CURVATURE

Abedi, Hosein (SCHOOL OF SCIENCES TARBIAT MODARRES UNIVERSITY)
Kashani, Seyed Mohammad Bagher (SCHOOL OF SCIENCES TARBIAT MODARRES UNIVERSITY)

Publication Information

Journal of the Korean Mathematical Society / v.44, no.4, 2007 , pp. 799-807 More about this Journal

Abstract

In this paper we study non-simply connected Riemannian manifolds of constant positive curvature which have an orbit of codimension one under the action of a connected closed Lie subgroup of isometries. When the action is reducible we characterize the orbits explicitly. We also prove that in some cases the manifold is homogeneous.

Keywords

cohomogeneity one; constant positive curvature;

Citations & Related Records

Times Cited By Web Of Science : 0 (Related Records In Web of Science)
Times Cited By SCOPUS : 0

Reference

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