Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Jet Isomorphism Theorem of pseudo-Riemannian geometry   We give a detailed exposition of the Jet Isomorphism Theorem of
pseudo-Riemannian geometry. In its weak form this theorem states that the
Taylor expansion up to order k+2 of a pseudo-Riemannian metric in normal
coordinates can be reconstructed in a universal way from suitable
symmetrizations of the covariant derivatives of the curvature tensor up to
order k. In its full generality it states the equivalence of Taylor expansions
of metrics in normal coordinates up to order k+2, abstract curvature k-jets and
their symmetrizations as affine vector bundles. This theorem seems to be a
cornerstone of local pseudo-Riemannian geometry which is hardly mentioned in
the present literature anymore.

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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: gr-qc
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The categories of this paper are: hep-ex
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The categories of this paper are: bayes-an
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The categories of this paper are: comp-gas
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The categories of this paper are: patt-sol
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The categories of this paper are: eess
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-th
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The categories of this paper are: adap-org
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The categories of this paper are: hep-lat
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The categories of this paper are: ao-sci
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The categories of this paper are: nucl-th
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The categories of this paper are: q-alg
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The categories of this paper are: q-fin