Publication at Faculty of Mathematics and Physics |
2011
Abstract
Curvature homogeneous spaces have been studied by many authors. In this paper, we introduce and study anatural modification of this class, namely so-called curvature homogeneous spaces of type (1,3).
We presenta class of proper examples in every dimension and we prove a classification theorem in dimension 3 (for the generic case). We restrict ourselves to the Riemannian situation and to curvature homogeneity of order zero.