Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the global structure of conformal gradient solitons with nonnegative
  Ricci tensor   In this paper we prove that any complete conformal gradient soliton with
nonnegative Ricci tensor is either isometric to a direct product
$\mathbb{R}\times N^{n-1}$, or globally conformally equivalent to the Euclidean
space $\mathbb{R}^{n}$ or to the round sphere $\mathbb{S}^{n}$. In particular,
we show that any complete, noncompact, gradient Yamabe-type soliton with
positive Ricci tensor is rotationally symmetric, whenever the potential
function is nonconstant.

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The categories of this paper are: chao-dyn
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The categories of this paper are: physics
36
The categories of this paper are: cmp-lg
34
The categories of this paper are: chem-ph
8
The categories of this paper are: hep-ex
5
The categories of this paper are: gr-qc
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-lat
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The categories of this paper are: eess
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The categories of this paper are: nucl-th
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The categories of this paper are: patt-sol
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The categories of this paper are: plasm-ph
13
The categories of this paper are: quant-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: q-alg
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The categories of this paper are: comp-gas