Lagrangian mean curvature flow of surfaces with mean curvature bound
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866909557440118784 |
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| author | Ghosh, Sourav |
| author_facet | Ghosh, Sourav |
| contents | Let $L_t$ be a zero Maslov Lagrangian mean curvature flow in $\mathbb{C}^2.$ We show that if the mean curvature stays uniformly bounded along the flow, then the tangent flow at a singular point is unique i.e. the limit of the parabolic rescalings does not depend on the chosen sequence of rescalings. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_22918 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Lagrangian mean curvature flow of surfaces with mean curvature bound Ghosh, Sourav Differential Geometry Let $L_t$ be a zero Maslov Lagrangian mean curvature flow in $\mathbb{C}^2.$ We show that if the mean curvature stays uniformly bounded along the flow, then the tangent flow at a singular point is unique i.e. the limit of the parabolic rescalings does not depend on the chosen sequence of rescalings. |
| title | Lagrangian mean curvature flow of surfaces with mean curvature bound |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2503.22918 |