Geodesic
Four-dimensional curvature homogeneous spaces
Commentationes Mathematicae Universitatis Carolinae, Tome 33 (1992) no. 2, pp. 261-268 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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.
Classification : 53C20, 53C30
Keywords: Riemannian manifold; curvature homogeneous spaces; homogeneous spaces 
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Sekigawa, Kouei; Suga, Hiroshi; Vanhecke, Lieven. Four-dimensional curvature homogeneous spaces. Commentationes Mathematicae Universitatis Carolinae, Tome 33 (1992) no. 2, pp. 261-268. http://geodesic.mathdoc.fr/item/CMUC_1992_33_2_a5/

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