The $L_p$ Minkowski problems on affine dual quermassintegrals
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866915734932684800 |
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| author | Lin, Youjiang Wu, Yuchi |
| author_facet | Lin, Youjiang Wu, Yuchi |
| contents | In this paper, {we extend the affine dual curvature measures to the $L_p$ setting and solve the existence part of the corresponding Minkowski problem for non-symmetric discrete measures when $p>1$ and for symmetric measures when $p\geq0$.} When $p=0$, the $L_0$ Minkowski problem is the affine dual Minkowski problem, which is introduced and solved by Cai-Leng-Wu-Xi in [6]. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_12117 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The $L_p$ Minkowski problems on affine dual quermassintegrals Lin, Youjiang Wu, Yuchi Metric Geometry 52A20, 52A30, 52A40 In this paper, {we extend the affine dual curvature measures to the $L_p$ setting and solve the existence part of the corresponding Minkowski problem for non-symmetric discrete measures when $p>1$ and for symmetric measures when $p\geq0$.} When $p=0$, the $L_0$ Minkowski problem is the affine dual Minkowski problem, which is introduced and solved by Cai-Leng-Wu-Xi in [6]. |
| title | The $L_p$ Minkowski problems on affine dual quermassintegrals |
| topic | Metric Geometry 52A20, 52A30, 52A40 |
| url | https://arxiv.org/abs/2504.12117 |