논문KCI 등재
Positively measure expansive and expanding
대한수학회 (The Korean Mathematical Society)|2014.04|대한수학회논문집 (Communications of the KMS)|제29권 제2호|pp. 345-349
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We show that C1-generically, a differentiable map is posi- tively measure expansive if and only if it is expanding.
Abstract
We show that C1-generically, a differentiable map is posi- tively measure expansive if and only if it is expanding.
참고문헌 (6)
- A. Arbieto, "Periodic orbits and expansiveness", Math. Z, 269(3-4), pp.801~807 (2011)
- R. Mane, "Persistent manifolds are normally hyperbolic", Trans. Amer. Math. Soc, 246, pp.261~283 (1978)
- W. L. Reddy, "Expanding maps on compact metric spaces", Topology Appl, 13(3), pp.327~334 (1982)
- K. Sakai, "Positively expansive differentiable Maps", Acta Math. Sin. (Engl. Ser.), 26(10), pp.1839~1846 (2010)
- K. Sakai, "Measure-expansive diffeomorphisms", Preprint, ~
- D. Yang, "Expansive homoclinic classes", Nonlinearity, 22(4), pp.729~733 (2009)
관련 논문AI추천
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