Polynomial vector fields on the Clifford torus
First, we characterize all the polynomial vector fields in R4 which have the Clifford torus as an invariant surface. Then we study the number of invariant meridians and parallels that such polynomial vector fields can have on the Clifford torus as a function of the degree of these vector fields.
| Autores: | , |
|---|---|
| Formato: | artículo |
| Fecha de publicación: | 2021 |
| País: | España |
| Recursos: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:239783 |
| Acesso em linha: | https://ddd.uab.cat/record/239783 https://dx.doi.org/urn:doi:10.1142/S0218127421500577 |
| Access Level: | acceso abierto |
| Palavra-chave: | Invariant parallels Invariant meridians Polynomial vector field Clifford torus |
| Resumo: | First, we characterize all the polynomial vector fields in R4 which have the Clifford torus as an invariant surface. Then we study the number of invariant meridians and parallels that such polynomial vector fields can have on the Clifford torus as a function of the degree of these vector fields. |
|---|