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| Main Author: | |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2310.10870 |
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| _version_ | 1866929604460019712 |
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| author | Santaella, José Torres |
| author_facet | Santaella, José Torres |
| contents | This paper focuses on the translating solitons of fully nonlinear extrinsic curvature geometric flows in $\mathbb{R}^{n+1}$. We present a generalization of the Spruck-Xiao's and Spruck-Sun's convexity results for $1$-homogeneous convex/concave curvature functions, and further provide several characterizations of the family of grim reaper cylinders under curvature constraints. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_10870 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Maximum Principles and Consequences for $γ$-translators in $\mathbb{R}^{n+1}$ II Santaella, José Torres Differential Geometry Analysis of PDEs This paper focuses on the translating solitons of fully nonlinear extrinsic curvature geometric flows in $\mathbb{R}^{n+1}$. We present a generalization of the Spruck-Xiao's and Spruck-Sun's convexity results for $1$-homogeneous convex/concave curvature functions, and further provide several characterizations of the family of grim reaper cylinders under curvature constraints. |
| title | Maximum Principles and Consequences for $γ$-translators in $\mathbb{R}^{n+1}$ II |
| topic | Differential Geometry Analysis of PDEs |
| url | https://arxiv.org/abs/2310.10870 |