CENTER MANIFOLDS FOR PARTIALLY HYPERBOLIC SETS WITHOUT STRONG UNSTABLE CONNECTIONS
2015 ◽
Vol 15
(4)
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pp. 785-828
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We consider compact sets which are invariant and partially hyperbolic under the dynamics of a diffeomorphism of a manifold. We prove that such a set $K$ is contained in a locally invariant center submanifold if and only if each strong stable and strong unstable leaf intersects $K$ at exactly one point.
2005 ◽
Vol 84
(12)
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pp. 1693-1715
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2018 ◽
Vol 34
(9)
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pp. 1429-1444
2007 ◽
Vol 237
(2)
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pp. 307-342
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2006 ◽
Vol 26
(06)
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pp. 1707
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2019 ◽
Vol 19
(5)
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pp. 1765-1792
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Keyword(s):
2008 ◽
Vol 360
(10)
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pp. 5551-5569
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1995 ◽
Vol 1
(2)
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pp. 253-275
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2018 ◽
Vol 38
(6)
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pp. 2717-2729