MathSciDoc: An Archive for Mathematician ∫

 
Log In
Sign Up
Help
Go
 

Periodic flows with global sections

Khadija Ben Rejeb Institute of Computer Science and Communication Techniques, University of Sousse, Hammam Sousse, Tunisia

Geometric Analysis and Geometric Topology mathscidoc:2203.15001

Arkiv for Matematik, 58, (1), 39-56, 2020.4
Let G={h_t|t∈ℝ} be a continuous flow on a connected n-manifold M. The flow G is said to be strongly reversible by an involution τ if h_{−t}=τh_tτ for all t∈ℝ, and it is said to be periodic if h_s= identity for some s∈ℝ^∗. A closed subset K of M is called a global section for G if every orbit G(x) intersects K in exactly one point. In this paper, we study how the two properties “strongly reversible” and “has a global section” are related. In particular, we show that if G is periodic and strongly reversible by a reflection, then G has a global section.
No keywords uploaded!
[ Download ] [ 2022-03-10 16:44:27 uploaded by arkivadmin ] [ 398 downloads ] [ 0 comments ] 
@inproceedings{khadija2020periodic,
  title={Periodic flows with global sections},
  author={Khadija Ben Rejeb},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20220310164427484303931},
  booktitle={Arkiv for Matematik},
  volume={58},
  number={1},
  pages={39-56},
  year={2020},
}
Khadija Ben Rejeb. Periodic flows with global sections. 2020. Vol. 58. In Arkiv for Matematik. pp.39-56. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20220310164427484303931.
Please log in for comment!
 
 
Contact us: office-iccm@tsinghua.edu.cn | Copyright Reserved