Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Ricci-flat deformations and special holonomy   Let G be one of the Ricci-flat holonomy groups SU(n), Sp(n), Spin(7) or G_2,
and M a compact manifold of dimension 2n, 4n, 8 or 7, respectively. We prove
that the natural map from the moduli space of torsion-free G-structures on M to
the moduli space of Ricci-flat metrics is open, and that the image is a smooth
manifold. For the exceptional cases G = Spin(7) and G_2 we extend the result to
asymptotically cylindrical manifolds.

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The categories of this paper are: nucl-th
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The categories of this paper are: patt-sol
5
The categories of this paper are: gr-qc
29
The categories of this paper are: funct-an
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The categories of this paper are: dg-ga
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The categories of this paper are: solv-int
35
The categories of this paper are: mtrl-th
0
The categories of this paper are: hep-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: nlin
4
The categories of this paper are: cond-mat
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The categories of this paper are: atom-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-lat
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The categories of this paper are: supr-con