Inradius estimates for convex domains in 2-dimensional Alexandrov spaces

2018/08/24 by Drach, Kostiantyn · 1 citation
#49Q10 #52A38 #53C20 #Differential Geometry (math.DG) #FOS: Mathematics #Metric Geometry (math.MG)

paper · doi:10.48550/arxiv.1808.08184

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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