MATHEMATICA BOHEMICA, Vol. 126, No. 3, pp. 631-637, 2001

Particular trace decompositions and
applications of trace decomposition
to almost projective invariants

Mircea Crasmareanu

Mircea Crasmareanu, Faculty of Mathematics, University "Al. I. Cuza", R-6600 Iasi, Romania, e-mail: mcrasm@uaic.ro

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 (MSC 2000): 15A72, 53A55

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