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arXiv · 1808.08184

Inradius estimates for convex domains in 2-dimensional Alexandrov spaces

Kostiantyn Drach
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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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Kostiantyn Drach. 2018-08-24. Inradius estimates for convex domains in 2-dimensional Alexandrov spaces. https://arxiv.org/abs/1808.08184

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