Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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KATOK-HASSELBLATT-KINEMATIC EXPANSIVE FLOWS

  • Huynh, Hien Minh (Department of Mathematics and Statistics Quy Nhon University)
  • Received : 2021.04.15
  • Accepted : 2021.08.19
  • Published : 2022.01.01
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Abstract

In this paper we introduce a new notion of expansive flows, which is the combination of expansivity in the sense of Katok and Hasselblatt and kinematic expansivity, named KH-kinematic expansivity. We present new properties of several variations of expansivity. A new hierarchy of expansive flows is given.

Keywords

Acknowledgement

This research is funded by Vietnam National Foundation for Science and Technology Development (NAFOSTED) under grant number 101.02-2020.21. This paper was done during the author's stay at Vietnam Institute for Advanced Study in Mathematics (VIASM). He would like to thank VIASM for its wonderful working condition. The author enjoyed many fruitful discussions with Nguyen Bao Tran.

References

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