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학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
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초록· 키워드
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Let $f:M\to M$ be a diffeomorphism on a closed $C^{\infty}$ $d(\geq2)$ dimensional manifold $M$. For $C^1$-generic $f$, if a diffeomorphism $f$ satisfies the local star condition on a transitive set, then it is hyperbolic.
목차
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참고문헌 (9)
참고문헌 신청
F. Abdenur / 2011 / Nonuniform hyperbolicity for C1-generic diffeomorphisms / Israel J. Math 183:1~60
N. Aoki / 1992 / The set of Axiom A diffeomorphisms with no cycles / Bol. Soc. Brasil. Mat. (N.S.) 23(1-2):21~65
S. Hayashi / 1992 / Diffeomorphisms in F1(M) satisfy Axiom A / Ergodic Theory Dynam. Systems 12(2):233~253
이건희 / 2012 / SHADOWABLE CHAIN TRANSITIVE SETS OF C1-GENERIC DIFFEOMORPHISMS / 대한수학회보 49(2):263~270
R. Mane / 1978 / Contributions to the stability conjecture / Topology 17(4):383~396
N. Aoki / 1992 / The set of Axiom A diffeomorphisms with no cycles / Bol. Soc. Brasil. Mat. (N.S.) 23(1-2):21~65
S. Hayashi / 1992 / Diffeomorphisms in F1(M) satisfy Axiom A / Ergodic Theory Dynam. Systems 12(2):233~253
이건희 / 2012 / SHADOWABLE CHAIN TRANSITIVE SETS OF C1-GENERIC DIFFEOMORPHISMS / 대한수학회보 49(2):263~270
R. Mane / 1978 / Contributions to the stability conjecture / Topology 17(4):383~396
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