Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A lower diameter bound for compact domain manifolds of shrinking
  Ricci-harmonic solitons   In this paper, we shall give a lower diameter bound for compact domain
manifolds of shrinking Ricci-harmonic solitons. Our result may be regarded as a
generalization to Ricci-harmonic geometry of the recent works by
Fern\'andez-L\'opez and Garc\'ia-R\'io (Q. J. Math. 61, 319--327, 2010), Futaki
and Sano (Asian J. Math. 17, 17--32, 2013), and Futaki \textit{et al} (Ann.
Global Anal. Geom. 44, 105--114, 2013).

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The categories of this paper are: eess
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The categories of this paper are: hep-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: math-ph
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The categories of this paper are: q-alg
1
The categories of this paper are: cs
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The categories of this paper are: nucl-th
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The categories of this paper are: ao-sci
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The categories of this paper are: dg-ga
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The categories of this paper are: comp-gas
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The categories of this paper are: funct-an
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The categories of this paper are: solv-int
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The categories of this paper are: stat
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The categories of this paper are: patt-sol
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The categories of this paper are: econ
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The categories of this paper are: acc-phys