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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2512.23623 |
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| _version_ | 1866918326458908672 |
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| author | Santaella, José Torres |
| author_facet | Santaella, José Torres |
| contents | We study rotationally symmetric translators for fully nonlinear extrinsic geometric flows driven by a curvature function, and we establish the fine asymptotics of bowl-type evolutions and, when admissible, the construction and classification of catenoidal-type solutions, together with their asymptotic behavior. Under natural structural and convexity assumptions, we also prove rigidity and uniqueness results within appropriate classes of graphical translators of such curvature flows. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_23623 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Rotationally symmetric translating solitons of fully nonlinear extrinsic geometric flows: Classification and Applications Santaella, José Torres Differential Geometry Analysis of PDEs We study rotationally symmetric translators for fully nonlinear extrinsic geometric flows driven by a curvature function, and we establish the fine asymptotics of bowl-type evolutions and, when admissible, the construction and classification of catenoidal-type solutions, together with their asymptotic behavior. Under natural structural and convexity assumptions, we also prove rigidity and uniqueness results within appropriate classes of graphical translators of such curvature flows. |
| title | Rotationally symmetric translating solitons of fully nonlinear extrinsic geometric flows: Classification and Applications |
| topic | Differential Geometry Analysis of PDEs |
| url | https://arxiv.org/abs/2512.23623 |