Linearization of transition functions along a certain class of Levi-flat hypersurfaces
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arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2022
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| Subjects: | |
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| _version_ | 1866909198370996224 |
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| author | Ogawa, Satoshi |
| author_facet | Ogawa, Satoshi |
| contents | We pose a normal form of transition functions along some Levi-flat hypersurfaces obtained by suspension. By focusing on methods in circle dynamics and linearization theorems, we give a sufficient condition to obtain a normal form as a geometrical analogue of Arnol'd's linearization theorem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2204_04945 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Linearization of transition functions along a certain class of Levi-flat hypersurfaces Ogawa, Satoshi Complex Variables Dynamical Systems We pose a normal form of transition functions along some Levi-flat hypersurfaces obtained by suspension. By focusing on methods in circle dynamics and linearization theorems, we give a sufficient condition to obtain a normal form as a geometrical analogue of Arnol'd's linearization theorem. |
| title | Linearization of transition functions along a certain class of Levi-flat hypersurfaces |
| topic | Complex Variables Dynamical Systems |
| url | https://arxiv.org/abs/2204.04945 |