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On curvature-homogeneous spaces of type (1, 3)

Publikace na Matematicko-fyzikální fakulta |
2011

Tento text není v aktuálním jazyce dostupný. Zobrazuje se verze "en".Abstrakt

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.