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On some product conformally flat locally decomposable Riemannian manifolds. (English) Zbl 1164.53341

The author studies product conformally flat locally decomposable Riemannian manifolds whose curvature tensor can be only expressed in terms of Ricci tensors. These manifolds are subdivided into four classes depending on the conditions satisfied by their Ricci curvatures. Manifolds of almost constant curvature at the points, where the scalar curvatures fulfill certain conditions, is one of classes mentioned above.

MSC:

53C15 General geometric structures on manifolds (almost complex, almost product structures, etc.)
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