An inequality for the minimum affine curvature of a plane curve
As an application of the affine curve shortening flow, we will prove an inequality for minimum affine curvature of a smooth simple closed curve in the Euclidean plane.
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| Format: | Article |
| Language: | English |
| Published: |
Académie des sciences
2020-06-01
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| Series: | Comptes Rendus. Mathématique |
| Online Access: | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.19/ |
| _version_ | 1797651540949860352 |
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| author | Yang, Yunlong |
| author_facet | Yang, Yunlong |
| author_sort | Yang, Yunlong |
| collection | DOAJ |
| description | As an application of the affine curve shortening flow, we will prove an inequality for minimum affine curvature of a smooth simple closed curve in the Euclidean plane. |
| first_indexed | 2024-03-11T16:17:17Z |
| format | Article |
| id | doaj.art-6cc14f94ee4f4cdeaa02d0e003a47e4c |
| institution | Directory Open Access Journal |
| issn | 1778-3569 |
| language | English |
| last_indexed | 2024-03-11T16:17:17Z |
| publishDate | 2020-06-01 |
| publisher | Académie des sciences |
| record_format | Article |
| series | Comptes Rendus. Mathématique |
| spelling | doaj.art-6cc14f94ee4f4cdeaa02d0e003a47e4c2023-10-24T14:19:07ZengAcadémie des sciencesComptes Rendus. Mathématique1778-35692020-06-01358213914210.5802/crmath.1910.5802/crmath.19An inequality for the minimum affine curvature of a plane curveYang, Yunlong0School of Science, Dalian Maritime University, Dalian, 116026, People’s Republic of ChinaAs an application of the affine curve shortening flow, we will prove an inequality for minimum affine curvature of a smooth simple closed curve in the Euclidean plane.https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.19/ |
| spellingShingle | Yang, Yunlong An inequality for the minimum affine curvature of a plane curve Comptes Rendus. Mathématique |
| title | An inequality for the minimum affine curvature of a plane curve |
| title_full | An inequality for the minimum affine curvature of a plane curve |
| title_fullStr | An inequality for the minimum affine curvature of a plane curve |
| title_full_unstemmed | An inequality for the minimum affine curvature of a plane curve |
| title_short | An inequality for the minimum affine curvature of a plane curve |
| title_sort | inequality for the minimum affine curvature of a plane curve |
| url | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.19/ |
| work_keys_str_mv | AT yangyunlong aninequalityfortheminimumaffinecurvatureofaplanecurve AT yangyunlong inequalityfortheminimumaffinecurvatureofaplanecurve |