Holomorphic vector fields with a barycentric condition
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2022
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| Subjects: | |
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| _version_ | 1866929525859811328 |
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| author | Cerveau, Dominique Déserti, Julie Neto, Alcides Lins |
| author_facet | Cerveau, Dominique Déserti, Julie Neto, Alcides Lins |
| contents | We study the $p$-tuples of holomorphic vector fields $(X_1,X_2,\ldots,X_p)$ satisfying the barycentric property $\displaystyle\sum_k\exp tX_k=p\cdot\mathrm{id}$, where $\exp tX$ denotes the flow of $X$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2206_06475 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Holomorphic vector fields with a barycentric condition Cerveau, Dominique Déserti, Julie Neto, Alcides Lins Dynamical Systems 32A10, 32M35, 34M45 We study the $p$-tuples of holomorphic vector fields $(X_1,X_2,\ldots,X_p)$ satisfying the barycentric property $\displaystyle\sum_k\exp tX_k=p\cdot\mathrm{id}$, where $\exp tX$ denotes the flow of $X$. |
| title | Holomorphic vector fields with a barycentric condition |
| topic | Dynamical Systems 32A10, 32M35, 34M45 |
| url | https://arxiv.org/abs/2206.06475 |