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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2410.17850 |
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| _version_ | 1866929715034456064 |
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| author | Han, Xiaoli Li, Jiayu Sun, Jun |
| author_facet | Han, Xiaoli Li, Jiayu Sun, Jun |
| contents | It is known that there is no a Type I singularity for the Lagrangian mean curvature flow with zero Maslov class. In this paper, we study translating solitons which are important models of Type II singularities. A necessary condition for a blow-up limit arising at a Type II singularity of a Lagrangian mean curvature flow with zero Maslov class is provided. As an application, we try to understand the important open question proposed by Joyce-Lee-Tsui and Neves-Tian, whether the Lagrangian translating solitons constructed by Joyce-Lee-Tsui can be a blow-up limit for a Lagrangian mean curvature flow with zero Maslov class. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_17850 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Translating Solitons to a Lagrangian mean curvature flow with zero Maslov class Han, Xiaoli Li, Jiayu Sun, Jun Differential Geometry It is known that there is no a Type I singularity for the Lagrangian mean curvature flow with zero Maslov class. In this paper, we study translating solitons which are important models of Type II singularities. A necessary condition for a blow-up limit arising at a Type II singularity of a Lagrangian mean curvature flow with zero Maslov class is provided. As an application, we try to understand the important open question proposed by Joyce-Lee-Tsui and Neves-Tian, whether the Lagrangian translating solitons constructed by Joyce-Lee-Tsui can be a blow-up limit for a Lagrangian mean curvature flow with zero Maslov class. |
| title | Translating Solitons to a Lagrangian mean curvature flow with zero Maslov class |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2410.17850 |