Abstract: First, by using the formulae of Krupka, the trace decomposition for some particular classes of tensors of types (1, 2) and (1, 3) is obtained. Second, it is proved that the traceless part of a tensor is an almost projective invariant of weight 1. We apply this result to Weyl curvature tensors.
Keywords: traceless tensor, trace decomposition, almost projective invariant
Classification (MSC2000): 15A72, 53A55
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