Inradius Estimates for Convex Domains in 2-Dimensional Alexandrov Spaces

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.

Bibliographic Details
Main Author: Drach Kostiantyn
Format: Article
Language:English
Published: De Gruyter 2018-11-01
Series:Analysis and Geometry in Metric Spaces
Subjects:
Online Access:https://doi.org/10.1515/agms-2018-0009