대한수학회지 (Journal of the Korean Mathematical Society)

  • 제61권3호
  • /
  • Pages.495-513
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  • 2024
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  • 0304-9914(pISSN)
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  • 2234-3008(eISSN)
대한수학회 (Korean Mathematical Society)
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SINGULAR HYPERBOLICITY OF C1 GENERIC THREE DIMENSIONAL VECTOR FIELDS

  • Manseob Lee (Department of Marketing Big Data Mokwon University)
  • 투고 : 2023.06.23
  • 심사 : 2023.10.19
  • 발행 : 2024.05.01
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초록

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].

키워드

과제정보

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

참고문헌

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