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.
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| Format: | Article |
| Language: | English |
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De Gruyter
2018-11-01
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| Series: | Analysis and Geometry in Metric Spaces |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/agms-2018-0009 |
| _version_ | 1818734781880336384 |
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| author | Drach Kostiantyn |
| author_facet | Drach Kostiantyn |
| author_sort | Drach Kostiantyn |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-18T00:10:49Z |
| format | Article |
| id | doaj.art-72d047fa560f4a859757838c9c73bb33 |
| institution | Directory Open Access Journal |
| issn | 2299-3274 |
| language | English |
| last_indexed | 2024-12-18T00:10:49Z |
| publishDate | 2018-11-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Analysis and Geometry in Metric Spaces |
| spelling | doaj.art-72d047fa560f4a859757838c9c73bb332022-12-21T21:27:41ZengDe GruyterAnalysis and Geometry in Metric Spaces2299-32742018-11-016116517310.1515/agms-2018-0009agms-2018-0009Inradius Estimates for Convex Domains in 2-Dimensional Alexandrov SpacesDrach Kostiantyn0Department of Mathematics and Logistics, Jacobs University Bremen, Campus Ring 1,Bremen, GermanyWe 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.https://doi.org/10.1515/agms-2018-0009alexandrov metric spacelower curvature boundsinscribed ballinscribed radiusλ-convexity |
| spellingShingle | Drach Kostiantyn Inradius Estimates for Convex Domains in 2-Dimensional Alexandrov Spaces Analysis and Geometry in Metric Spaces alexandrov metric space lower curvature bounds inscribed ball inscribed radius λ-convexity |
| title | Inradius Estimates for Convex Domains in 2-Dimensional Alexandrov Spaces |
| title_full | Inradius Estimates for Convex Domains in 2-Dimensional Alexandrov Spaces |
| title_fullStr | Inradius Estimates for Convex Domains in 2-Dimensional Alexandrov Spaces |
| title_full_unstemmed | Inradius Estimates for Convex Domains in 2-Dimensional Alexandrov Spaces |
| title_short | Inradius Estimates for Convex Domains in 2-Dimensional Alexandrov Spaces |
| title_sort | inradius estimates for convex domains in 2 dimensional alexandrov spaces |
| topic | alexandrov metric space lower curvature bounds inscribed ball inscribed radius λ-convexity |
| url | https://doi.org/10.1515/agms-2018-0009 |
| work_keys_str_mv | AT drachkostiantyn inradiusestimatesforconvexdomainsin2dimensionalalexandrovspaces |