Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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SINGULAR HYPERBOLICITY OF C1 GENERIC THREE DIMENSIONAL VECTOR FIELDS

  • Manseob Lee (Department of Marketing Big Data Mokwon University)
  • Received : 2023.06.23
  • Accepted : 2023.10.19
  • Published : 2024.05.01
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Abstract

In the paper, we show that for a generic C1 vector field X on a closed three dimensional manifold M, any isolated transitive set of X is singular hyperbolic. It is a partial answer of the conjecture in [13].

Keywords

Acknowledgement

The author wishes to express grateful to Xiao Wen for the hospitality at Beihang University in China.

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