Minkowski Problems for Geometric Measures
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866909483977932800 |
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| author | Huang, Yong Yang, Deane Zhzng, Gaoyang |
| author_facet | Huang, Yong Yang, Deane Zhzng, Gaoyang |
| contents | This paper describes the theory of Minkowski problems for geometric measures in convex geometric analysis. The theory goes back to Minkowski and Aleksandrov and has been developed extensively in recent years. The paper surveys classical and new Minkowski problems studied in convex geometry, PDEs, and harmonic analysis, and structured in a conceptual framework of the Brunn-Minkowski theory, its extensions, and related subjects. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_05427 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Minkowski Problems for Geometric Measures Huang, Yong Yang, Deane Zhzng, Gaoyang Metric Geometry 52A38 This paper describes the theory of Minkowski problems for geometric measures in convex geometric analysis. The theory goes back to Minkowski and Aleksandrov and has been developed extensively in recent years. The paper surveys classical and new Minkowski problems studied in convex geometry, PDEs, and harmonic analysis, and structured in a conceptual framework of the Brunn-Minkowski theory, its extensions, and related subjects. |
| title | Minkowski Problems for Geometric Measures |
| topic | Metric Geometry 52A38 |
| url | https://arxiv.org/abs/2502.05427 |