no. 2
Sufficient conditions for rescaling expansivity
[Conditions suffisantes pour redimensionner l’expansivité]
Rojas, Arnoldo1 ; Wen, Xiao2 ; Yang, Yinong3
1Beijing Advanced Innovation Center for Future Blockchain and Privacy Computing, Beihang University, Beijing, China & Beijing Academy of Blockchain and edge Computing, Beijing, 100086, China
2LMIB, Institute of Artificial Intelligence and School of Mathematical Science, Beihang University, Beijing, 100086, China
3School of Mathematics and Statistics, Liaoning University, Shenyang 110036, China
Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, Tome 33 (2024) no. 2, pp. 447-467

We show that every k*-expansive vector field of a closed manifold is rescaling expansive. This improves the main result in [5]. The proof relies on the new notion of singular-expansive flow which will be studied.

Nous montrons que tout champ de vecteurs k*-expansif d’une variété fermée est rééchelonné expansif. Cela améliore le résultat principal dans [5]. La preuve repose sur la nouvelle notion de flux singulier-expansif qui sera étudiée.

Reçu le :
Accepté le :
Publié le :
DOI : 10.5802/afst.1777
Classification : 37C10, 37B05
Keywords: Singular-expansive, k*-expansive, Rescaling expansive

Rojas, Arnoldo  1   ; Wen, Xiao  2   ; Yang, Yinong  3

1 Beijing Advanced Innovation Center for Future Blockchain and Privacy Computing, Beihang University, Beijing, China & Beijing Academy of Blockchain and edge Computing, Beijing, 100086, China
2 LMIB, Institute of Artificial Intelligence and School of Mathematical Science, Beihang University, Beijing, 100086, China
3 School of Mathematics and Statistics, Liaoning University, Shenyang 110036, China
Licence : CC-BY 4.0
Droits d'auteur : Les auteurs conservent leurs droits
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Rojas, Arnoldo; Wen, Xiao; Yang, Yinong. Sufficient conditions for rescaling expansivity. Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, Tome 33 (2024) no. 2, pp. 447-467. doi: 10.5802/afst.1777

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