**
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 (MSC2000):** 15A72, 53A55

**Full text of the article:**

[Previous Article] [Next Article] [Contents of this Number]

*
© 2005 ELibM and
FIZ Karlsruhe / Zentralblatt MATH
for the EMIS Electronic Edition
*