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The trace decomposition of tensors of type (1,2) and (1,3)

  • D. Krupka
Part of the Mathematics and Its Applications book series (MAIA, volume 350)

Abstract

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.

Keywords

Trace traceless tensor tensor space decomposition torsion tensor curvature tensor 

MS classification

15A72 53A55 

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References

  1. 1.
    D. Krupka: The trace decomposition problem, Preprint, Department of Mathematics, Silesian University Opava, Czech Republic, 1994.Google Scholar
  2. 2.
    H. Weyl: The Classical Groups (Princeton Univ. Press, Princeton, 1946).zbMATHGoogle Scholar

Copyright information

© Kluwer Academic Publishers 1996

Authors and Affiliations

  • D. Krupka
    • 1
  1. 1.Silesian UniversityOpavaCzech Republic

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