The trace decomposition of tensors of type (1,2) and (1,3)
In this paper, elementary methods are applied to determine the trace decomposition of tensors of type (1,2), and (1,3) on a real, finite-dimensional vector space. Explicit decomposition formulas are given showing the dependence of the decomposition on the dimension of the underlying vector space. The unigueness of the decomposition is discussed.
KeywordsTrace traceless tensor tensor space decomposition torsion tensor curvature tensor
MS classification15A72 53A55
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