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Ricci curvature and Ricci flow of three dimensional twisted product homogeneous geometries

We consider the Ricci curvature and the Ricci flow of the 3-dimensional twisted product homogeneous geometries. The Riemannian curvature, the Ricci curvature and the scalar curvature of the Nil, Sol and SL(2, R) model geometries are given as well as the exact solutions of the Ricci flow in these geometries. The mentioned curvatures and the Ricci flow of others homogeneous geometries are also discussed.

homogeneous geometries; Ricci curvature; Ricci flow

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