Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Riemann-Cartan Connection and its Decomposition. One More Assessment of
  "ECE Theory"   In this short pedagogical note we clarify some subtleties concerning the
symmetries of the coefficients of a Riemann-Cartan connection and the
symmetries of the coefficients of the contorsion tensor that has been a source
of some confusion in the literature, in particular in a so called 'ECE theory'.
We show in details that the coefficients of the contorsion tensor of a
Riemann-Cartan connection has a symmetric part and an antisymmetric part, the
symmetric part defining the strain tensor of the connection. Moreover, the
contorsion tensor has also a bastard anti-symmetry when written with all its
indices in the `covariant' positions.

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The categories of this paper are: dg-ga
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The categories of this paper are: nlin
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The categories of this paper are: cs
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The categories of this paper are: bayes-an
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The categories of this paper are: cmp-lg
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The categories of this paper are: cond-mat
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The categories of this paper are: funct-an
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The categories of this paper are: eess
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The categories of this paper are: atom-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: supr-con
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The categories of this paper are: hep-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: math
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The categories of this paper are: hep-ex