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Inradius estimates for convex domains in 2-dimensional Alexandrov spaces

Differential Geometry 2018-08-27 v1 Metric Geometry

Abstract

We obtain sharp lower bounds on the radii of inscribed balls for strictly convex isoperimetric domains lying in a 2-dimensional Alexandrov metric space of curvature bounded below. We also characterize the case when such bounds are attained.

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Cite

@article{arxiv.1808.08184,
  title  = {Inradius estimates for convex domains in 2-dimensional Alexandrov spaces},
  author = {Kostiantyn Drach},
  journal= {arXiv preprint arXiv:1808.08184},
  year   = {2018}
}

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