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A characterization of the Euclidean sphere

A characterization of the Euclidean sphere

1. Introduction.Let M be a connected Riemannian manifold of dimension n, Co(M) its largest connected group of conformai transformations and Io(M) its largest connected group of isometries.In an earlier paper [2], one of the authors and S. Kobayashi established the following result: THEOREM 1.A compact homogeneous Riemannian manifold for which …