Curvature homogeneity of type (1, 3) in pseudo-Riemannian manifolds
نویسنده
چکیده
We construct two new families of pseudo-Riemannian manifolds which are curvature homegeneous of type (1, 3). The first family given has signature (2k, 2k + 1) and is curvature homogeneous of type (1, 3) but not curvature homogeneous. The second family given has signature (1, 2) and is curvature homogeneous of type (1, 3) of all orders but not locally homogeneous, showing there is no finite Singer number for this type of curvature homogeneity.
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تاریخ انتشار 2013