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| Format: | Preprint |
| Veröffentlicht: |
2019
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| Schlagworte: | |
| Online-Zugang: | https://arxiv.org/abs/1904.09220 |
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| _version_ | 1866910399889145856 |
|---|---|
| author | Pali, Nefton |
| author_facet | Pali, Nefton |
| contents | 9We consider complex structures with totally real zero section of the tangent bundle. We assume that the complex structure tensor is real-analytic along the fibers of the tangent bundle. This assumption is quite natural in view of a well known existence result by Bruhat and Whitney. We provide explicit integrability equations for such complex structures in terms of the fiberwise Taylor expansion. In a particular geometric case considered in the literature, we explicit much further the fiberwise Taylor expansion of the complex structure as well as the integrability equations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1904_09220 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | On maximal totally real embeddings Pali, Nefton Differential Geometry Complex Variables 9We consider complex structures with totally real zero section of the tangent bundle. We assume that the complex structure tensor is real-analytic along the fibers of the tangent bundle. This assumption is quite natural in view of a well known existence result by Bruhat and Whitney. We provide explicit integrability equations for such complex structures in terms of the fiberwise Taylor expansion. In a particular geometric case considered in the literature, we explicit much further the fiberwise Taylor expansion of the complex structure as well as the integrability equations. |
| title | On maximal totally real embeddings |
| topic | Differential Geometry Complex Variables |
| url | https://arxiv.org/abs/1904.09220 |