Small perturbations of polytopes
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866912015990128640 |
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| author | Kipp, Christian |
| author_facet | Kipp, Christian |
| contents | Motivated by first-order conditions for extremal bodies of geometric functionals, we study a functional analytic notion of infinitesimal perturbations of convex bodies and give a full characterization of the set of realizable perturbations if the perturbed body is a polytope. As an application, we derive a necessary condition for polytopal maximizers of the isotropic constant. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_18033 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Small perturbations of polytopes Kipp, Christian Metric Geometry Functional Analysis 52B11, 52A23, 26E25 Motivated by first-order conditions for extremal bodies of geometric functionals, we study a functional analytic notion of infinitesimal perturbations of convex bodies and give a full characterization of the set of realizable perturbations if the perturbed body is a polytope. As an application, we derive a necessary condition for polytopal maximizers of the isotropic constant. |
| title | Small perturbations of polytopes |
| topic | Metric Geometry Functional Analysis 52B11, 52A23, 26E25 |
| url | https://arxiv.org/abs/2303.18033 |