ABSOLUTE INVARIANT OPERATORS ON DIFFERENTIABLE MANIFOLDS

Iulia Hiric˘
unpublished
The aim of this paper is to study some properties of the algebra of absolute invariant operators which produce trace decomposition of tensors. The emphasis is on the family of projections, which do provide insight of some problems of differential geometry, getting a decomposition of the space of tensors of type (1, 3) into three components, invariant under the group GL(V), in infinitely many possibilities, generalizing in this way the Strichartz splitting of curvature tensors. The extension of
more » ... . The extension of the algebra to the F(M)-module of absolute invariant tensor fields connects to δ-decompositions of geometrical object fields. Infinitely many invariants geometrical object fields to some transformations are obtained.
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