English

Sufficient conditions for rescaling expansivity

Dynamical Systems 2023-12-01 v1 Differential Geometry

Abstract

We demonstrate that any k*-expansive vector field on a closed manifold exhibits rescaling expansiveness. This enhances the principal outcome outlined in \cite{a}. The verification of this assertion hinges on the introduction and exploration of the novel concept termed as a "singular-expansive flow," which will be thoroughly examined.

Keywords

Cite

@article{arxiv.2311.18184,
  title  = {Sufficient conditions for rescaling expansivity},
  author = {A. Rojas and X. Wen and Y. Yang},
  journal= {arXiv preprint arXiv:2311.18184},
  year   = {2023}
}

Comments

17 pages. To appear in Annales de la Facult\'e des Sciences de Toulouse

R2 v1 2026-06-28T13:36:20.663Z