The complex landslide flow and the method of integrable systems
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866910833436524544 |
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| author | Kobayashi, Shimpei |
| author_facet | Kobayashi, Shimpei |
| contents | We investigate a connection between the complex landslide flow, defined on a pair of Teichmüller spaces, and the integrable system approach to harmonic maps into a symmetric space. We will prove that the holonomy of the complex landslide flow can be derived from the holonomy of the family of flat connections determined by a harmonic map into the hyperbolic two-space. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_13966 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The complex landslide flow and the method of integrable systems Kobayashi, Shimpei Differential Geometry Primary 32G15, Seondary 53C43 We investigate a connection between the complex landslide flow, defined on a pair of Teichmüller spaces, and the integrable system approach to harmonic maps into a symmetric space. We will prove that the holonomy of the complex landslide flow can be derived from the holonomy of the family of flat connections determined by a harmonic map into the hyperbolic two-space. |
| title | The complex landslide flow and the method of integrable systems |
| topic | Differential Geometry Primary 32G15, Seondary 53C43 |
| url | https://arxiv.org/abs/2404.13966 |