Lagrangian surfaces with Legendrian boundary
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2019
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866910969866747904 |
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| author | Li, Mingyan Wang, Guofang Weng, Liangjun |
| author_facet | Li, Mingyan Wang, Guofang Weng, Liangjun |
| contents | In this note, we first introduce a boundary problem for Lagrangian submanifolds, analogous to the problem for free boundary hypersurfaces and capillary hypersurfaces. Then we present several interesting examples of Lagrangian submanifolds satisfying this boundary condition and we prove a Lagrangian version of Nitsche (or Hopf) type theorem. Some problems are proposed at the end of this note. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1910_05397 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | Lagrangian surfaces with Legendrian boundary Li, Mingyan Wang, Guofang Weng, Liangjun Differential Geometry 53C24, 53C42 In this note, we first introduce a boundary problem for Lagrangian submanifolds, analogous to the problem for free boundary hypersurfaces and capillary hypersurfaces. Then we present several interesting examples of Lagrangian submanifolds satisfying this boundary condition and we prove a Lagrangian version of Nitsche (or Hopf) type theorem. Some problems are proposed at the end of this note. |
| title | Lagrangian surfaces with Legendrian boundary |
| topic | Differential Geometry 53C24, 53C42 |
| url | https://arxiv.org/abs/1910.05397 |