Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Inscribed Radius Bounds for Lower Ricci Bounded Metric Measure Spaces
  with Mean Convex Boundary   Consider an essentially nonbranching metric measure space with the measure
contraction property of Ohta and Sturm, or with a Ricci curvature lower bound
in the sense of Lott, Sturm and Villani. We prove a sharp upper bound on the
inscribed radius of any subset whose boundary has a suitably signed lower bound
on its generalized mean curvature. This provides a nonsmooth analog to a result
of Kasue (1983) and Li (2014). We prove a stability statement concerning such
bounds and - in the Riemannian curvature-dimension (RCD) setting - characterize
the cases of equality.

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The categories of this paper are: cs
22
The categories of this paper are: chao-dyn
7
The categories of this paper are: hep-th
23
The categories of this paper are: solv-int
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The categories of this paper are: q-bio
13
The categories of this paper are: quant-ph
14
The categories of this paper are: math-ph
31
The categories of this paper are: ao-sci
35
The categories of this paper are: mtrl-th
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The categories of this paper are: adap-org
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The categories of this paper are: eess
27
The categories of this paper are: comp-gas
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The categories of this paper are: stat
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The categories of this paper are: hep-lat
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The categories of this paper are: physics
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The categories of this paper are: hep-ph