Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Ricci flow from some spaces with asymptotically cylindrical
  singularities   We prove the existence of Ricci flow starting from a class of metrics with
unbounded curvature, which are doubly-warped products over an interval with a
spherical factor pinched off at an end. These provide a forward evolution from
some known and conjectured finite-time local singularities of Ricci flow,
generalizing previous examples. The class also includes metrics with
non-compact singular ends which become instantaneously compact. Furthermore, we
prove local stability of the forward evolution, which allows us to glue it to
other manifolds and create a forward evolution from spaces which are not
globally warped products.

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The categories of this paper are: plasm-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: funct-an
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The categories of this paper are: bayes-an
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-ex
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The categories of this paper are: chem-ph
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The categories of this paper are: physics
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The categories of this paper are: dg-ga
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The categories of this paper are: mtrl-th
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The categories of this paper are: nlin
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The categories of this paper are: q-fin
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The categories of this paper are: nucl-ex
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The categories of this paper are: adap-org
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The categories of this paper are: econ
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The categories of this paper are: eess