Inradius estimates for convex domains in 2-dimensional Alexandrov spaces (Q1712895)

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Inradius estimates for convex domains in 2-dimensional Alexandrov spaces
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    Inradius estimates for convex domains in 2-dimensional Alexandrov spaces (English)
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    1 February 2019
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    The author derives some 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. Furthermore, in this paper, the author studies the case when such bounds are attained. The paper provides interesting and useful information in a classical geometric problem dealing with Alexandrov spaces.
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    Alexandrov metric space
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    constant curvature spaces
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    lower curvature bounds
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    isoperimetric-type problem
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    inscribed ball
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    inscribed radius
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    \(\lambda\)-convexity
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