The Gaussian Minkowski-type problems for $C$-pseudo-cones
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866915233742716928 |
|---|---|
| author | Shan, Junjie Hu, Wenchuan Xu, Wenxue |
| author_facet | Shan, Junjie Hu, Wenchuan Xu, Wenxue |
| contents | The Gaussian surface area measure and the Gaussian cone measure for $C$-pseudo-cones are introduced and their corresponding Gaussian Minkowski problem and Gaussian log-Minkowski problem are proposed, respectively. The existence and uniqueness of solutions to these problems for $C$-pseudo-cones are established. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_16449 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The Gaussian Minkowski-type problems for $C$-pseudo-cones Shan, Junjie Hu, Wenchuan Xu, Wenxue Metric Geometry Probability The Gaussian surface area measure and the Gaussian cone measure for $C$-pseudo-cones are introduced and their corresponding Gaussian Minkowski problem and Gaussian log-Minkowski problem are proposed, respectively. The existence and uniqueness of solutions to these problems for $C$-pseudo-cones are established. |
| title | The Gaussian Minkowski-type problems for $C$-pseudo-cones |
| topic | Metric Geometry Probability |
| url | https://arxiv.org/abs/2501.16449 |