Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Results on the existence of the Yamabe minimizer of M^m \times R^n   We let (M^m, g) be a closed smooth Riemannian manifold (m >1) with positive
scalar curvature S_g, and prove that the Yamabe constant of (M \times
R^n,g+g_E) is achieved by a metric in the conformal class of (g+g_E), where g_E
is the Euclidean metric. We also show that the Yamabe quotient of (M \times
R^n,g+g_E) is improved by Steiner symmetrization with respect to M. It follows
from this last assertion that the dependence on R^n of the Yamabe minimizer of
(M \times R^n,g+g_E) is radial.

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The categories of this paper are: hep-th
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The categories of this paper are: chao-dyn
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The categories of this paper are: gr-qc
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The categories of this paper are: q-bio
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The categories of this paper are: acc-phys
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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: quant-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: physics
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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: stat
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The categories of this paper are: alg-geom
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The categories of this paper are: nucl-ex
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The categories of this paper are: atom-ph