Projectively symmetric spaces. (English) Zbl 0697.53048

The main result: Any complete Riemannian manifold which is locally symmetric, globally properly projectively symmetric and projectively homogeneous is projectively equivalent to the standard sphere \(S^ n\) or to the real projective space \({\mathbb{R}}P^ n\).
Reviewer: O.Kowalski


53C35 Differential geometry of symmetric spaces
53B10 Projective connections
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