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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2404.09152 |
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| _version_ | 1866929360675536896 |
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| author | Liu, Yu-de Sun, Qiang Xiong, Ge |
| author_facet | Liu, Yu-de Sun, Qiang Xiong, Ge |
| contents | New sharp affine isoperimetric inequalities for volume decomposition functionals $X_{2}$ and $X_{3}$ in $\mathbb{R}^n$ are established. To fulfil this task, we prove the recursion formulas for volume decomposition functionals and find out the connection between the domains of these functionals and matroid polytopes. Applications of matroid theory to convex geometry are presented. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_09152 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A matroid polytope approach to sharp affine isoperimetric inequalities for volume decomposition functionals Liu, Yu-de Sun, Qiang Xiong, Ge Metric Geometry 52B40, 52A40, 52B60 F.4.1 New sharp affine isoperimetric inequalities for volume decomposition functionals $X_{2}$ and $X_{3}$ in $\mathbb{R}^n$ are established. To fulfil this task, we prove the recursion formulas for volume decomposition functionals and find out the connection between the domains of these functionals and matroid polytopes. Applications of matroid theory to convex geometry are presented. |
| title | A matroid polytope approach to sharp affine isoperimetric inequalities for volume decomposition functionals |
| topic | Metric Geometry 52B40, 52A40, 52B60 F.4.1 |
| url | https://arxiv.org/abs/2404.09152 |