Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Projective and Conformal Schwarzian Derivatives and Cohomology of Lie
  Algebras Vector Fields Related to Differential Operators   Let $M$ be either a projective manifold $(M,Pi)$ or a pseudo-Riemannian
manifold $(M,g).$ We extend, intrinsically, the projective/conformal Schwarzian
derivatives that we have introduced recently, to the space of differential
operators acting on symmetric contravariant tensor fields of any degree on $M.$
As operators, we show that the projective/conformal Schwarzian derivatives
depend only on the projective connection $Pi$ and the conformal class $[g]$ of
the metric, respectively. Furthermore, we compute the first cohomology group of
$Vect(M)$ with coefficients into the space of symmetric contravariant tensor
fields valued into $delta$-densities as well as the corresponding relative
cohomology group with respect to $sl(n+1,R).$

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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: funct-an
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The categories of this paper are: cs
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The categories of this paper are: hep-ex
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The categories of this paper are: adap-org
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The categories of this paper are: chem-ph
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The categories of this paper are: econ
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The categories of this paper are: hep-lat
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The categories of this paper are: nucl-th
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The categories of this paper are: eess
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The categories of this paper are: q-bio
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The categories of this paper are: physics
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The categories of this paper are: nlin
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The categories of this paper are: plasm-ph
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The categories of this paper are: q-fin