The Logarithmic Minkowski Problem
Fuente:
arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866909483992612864 |
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| author | Böröczky, Károly J. Lutwak, Erwin Yang, Deane Zhang, Gaoyong |
| author_facet | Böröczky, Károly J. Lutwak, Erwin Yang, Deane Zhang, Gaoyong |
| contents | In analogy with the classical Minkowski problem, necessary and sufficient conditions are given to assure that a given measure on the unit sphere is the cone-volume measure of the unit ball of a finite dimensional Banach space. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_05430 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The Logarithmic Minkowski Problem Böröczky, Károly J. Lutwak, Erwin Yang, Deane Zhang, Gaoyong Metric Geometry 52A40 In analogy with the classical Minkowski problem, necessary and sufficient conditions are given to assure that a given measure on the unit sphere is the cone-volume measure of the unit ball of a finite dimensional Banach space. |
| title | The Logarithmic Minkowski Problem |
| topic | Metric Geometry 52A40 |
| url | https://arxiv.org/abs/2502.05430 |