Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Pointwise lower scalar curvature bounds for $C^0$ metrics via
  regularizing Ricci flow   In this paper we propose a class of local definitions of weak lower scalar
curvature bounds that is well defined for $C^0$ metrics. We show the following:
that our definitions are stable under greater-than-second-order perturbation of
the metric, that there exists a reasonable notion of a Ricci flow starting from
$C^0$ initial data which is smooth for positive times, and that the weak lower
scalar curvature bounds are preserved under evolution by the Ricci flow from
$C^0$ initial data.

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The categories of this paper are: quant-ph
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The categories of this paper are: nucl-ex
22
The categories of this paper are: chao-dyn
32
The categories of this paper are: atom-ph
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The categories of this paper are: adap-org
23
The categories of this paper are: solv-int
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The categories of this paper are: hep-th
25
The categories of this paper are: patt-sol
1
The categories of this paper are: cs
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The categories of this paper are: q-fin
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The categories of this paper are: funct-an
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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: mtrl-th
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The categories of this paper are: chem-ph
20
The categories of this paper are: acc-phys