Symplectic variations of convex bodies and the mean width
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866911428444684288 |
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| author | Ahn, Jonghyeon Kerman, Ely |
| author_facet | Ahn, Jonghyeon Kerman, Ely |
| contents | In this work, we study convex bodies in $\RR^{2n}$ with the property that their mean width cannot be infinitesimally decreased by symplectomorphisms. The common theme of our results is that toric symmetry is a preferred feature of convex bodies with this property. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_02870 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Symplectic variations of convex bodies and the mean width Ahn, Jonghyeon Kerman, Ely Symplectic Geometry 53D05 52A20 52A40 In this work, we study convex bodies in $\RR^{2n}$ with the property that their mean width cannot be infinitesimally decreased by symplectomorphisms. The common theme of our results is that toric symmetry is a preferred feature of convex bodies with this property. |
| title | Symplectic variations of convex bodies and the mean width |
| topic | Symplectic Geometry 53D05 52A20 52A40 |
| url | https://arxiv.org/abs/2311.02870 |