Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Noncompact Shrinking 4-Solitons with Nonnegative Curvature   We prove the following: Let (M,g,X) be a noncompact four dimensional
shrinking soliton with bounded nonnegative curvature operator, then (M,g) is
isometric to R^4 or a finite quotient of S^2xR^2 or S^3xR. In the process we
also show that a complete shrinking soliton (M,g,X) with bounded curvature is
gradient and k-noncollapsed and the dilation of a Type I singularity is a
shrinking soliton. Further in dimension three we show shrinking solitons with
bounded curvature can be classified under only the assumption of Rc>= 0.

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The categories of this paper are: mtrl-th
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The categories of this paper are: dg-ga
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The categories of this paper are: atom-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: chem-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: plasm-ph
0
The categories of this paper are: hep-ph
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The categories of this paper are: nlin
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The categories of this paper are: stat
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The categories of this paper are: cmp-lg
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The categories of this paper are: astro-ph
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The categories of this paper are: q-alg
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The categories of this paper are: patt-sol
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The categories of this paper are: funct-an
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The categories of this paper are: hep-ex