Year: 2010
Type: preprint
Abstract: Let X be a divergence-free vector field defined on a closed, connected Riemannian manifold. In this paper, we show the equivalence between the following conditions: 1. X is in the C1-interior of the set of expansive divergence-free vector fields. 2. X is in the C1-interior of the set of divergence-free vector fields which satisfy the shadowing property. 3. X is in the C1-interior of the set of divergence-free vector fields which satisfy the Lipschitz shadowing property. 4. X has no singularities and X is Anosov.
Source: arXiv (Cornell University)
Author: Ferreira, Célia
Institution: Universidade do Porto
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2949395478