Inradius Estimates for Convex Domains in 2-Dimensional Alexandrov Spaces-Reference-Cited by-同舟云学术

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Inradius Estimates for Convex Domains in 2-Dimensional Alexandrov Spaces

Published:2018-11-01 Issue:1 Volume:6 Page:165-173
ISSN:2299-3274
Container-title:Analysis and Geometry in Metric Spaces
language:
Short-container-title:

Author:

Drach Kostiantyn

Abstract

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.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Geometry and Topology,Analysis

Link

https://www.degruyter.com/document/doi/10.1515/agms-2018-0009/pdf

Reference16 articles.

1. Reverse isoperimetric inequality in two - dimensional Alexandrov spaces;Alexander Borisenko;Proc Amer Math Soc,2017

2. Closeness to spheres of hypersurfaces with normal curvature bounded below;Alexander Borisenko;Math,2013

3. Convex sets in Hadamard manifolds;Alexander Borisenko;Geom Appl,2002

4. course in Metric Geometry Providence Island;Dmitri Burago,2001

5. Extreme bounds for complete hypersurfaces in Riemannian spaces thesis Institute for Low Temperature Physics and Engineering of the NAS of Ukraine;Kostiantyn Drach,2016

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1. A Discrete Blaschke Theorem for Convex Polygons in 2-Dimensional Space Forms;Zurnal matematiceskoj fiziki, analiza, geometrii;2024-03-25

2. Stability of convex disks;Calculus of Variations and Partial Differential Equations;2023-10-07

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