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Vector fields satisfying the barycenter property
- Source :
- Open Mathematics, Vol 16, Iss 1, Pp 429-436 (2018)
- Publication Year :
- 2018
- Publisher :
- De Gruyter, 2018.
-
Abstract
- We show that if a vector field X has the C1 robustly barycenter property then it does not have singularities and it is Axiom A without cycles. Moreover, if a generic C1-vector field has the barycenter property then it does not have singularities and it is Axiom A without cycles. Moreover, we apply the results to the divergence free vector fields. It is an extension of the results of the barycenter property for generic diffeomorphisms and volume preserving diffeomorphisms [1].
Details
- Language :
- English
- ISSN :
- 23915455
- Volume :
- 16
- Issue :
- 1
- Database :
- Directory of Open Access Journals
- Journal :
- Open Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.055bf4b678fc416f93a35a9ee8a9277b
- Document Type :
- article
- Full Text :
- https://doi.org/10.1515/math-2018-0040