Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Weyl homogeneous manifolds modeled on compact Lie groups   A Riemannian manifold is called Weyl homogeneous, if its Weyl tensors at any
two points are "the same", up to a positive multiple. A Weyl homogeneous
manifold is modeled on a homogeneous space $M_0$, if its Weyl tensor at every
point is "the same" as the Weyl tensor of $M_0$, up to a positive multiple. We
prove that a Weyl homogeneous manifold $M^n, n \ge 4$, modeled on an
irreducible symmetric space $M_0$ of types II or IV (compact simple Lie group
with a bi-invariant metric or its noncompact dual) is conformally equivalent to
$M_0$.

33
The categories of this paper are: plasm-ph
34
The categories of this paper are: chem-ph
4
The categories of this paper are: cond-mat
17
The categories of this paper are: q-fin
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The categories of this paper are: quant-ph
21
The categories of this paper are: adap-org
26
The categories of this paper are: bayes-an
15
The categories of this paper are: nucl-ex
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The categories of this paper are: cmp-lg
5
The categories of this paper are: gr-qc
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The categories of this paper are: hep-ex
6
The categories of this paper are: astro-ph
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The categories of this paper are: q-alg
10
The categories of this paper are: q-bio
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The categories of this paper are: math-ph
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The categories of this paper are: mtrl-th