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Four-dimensional curvature homogeneous spaces

Kouei Sekigawa; Hiroshi Suga; Lieven Vanhecke — 1992

Commentationes Mathematicae Universitatis Carolinae

We prove that a four-dimensional, connected, simply connected and complete Riemannian manifold which is curvature homogeneous up to order two is a homogeneous Riemannian space.

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