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.

中文翻译：

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二维 Alexandrov 空间中凸域的半径估计

摘要 我们获得了严格凸等周域的内接球半径的尖锐下界，该域位于下方有界的二维 Alexandrov 度量空间曲率。我们还描述了达到这种界限的情况。