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arxiv: 1612.03535 · v1 · pith:2KC6VO3Znew · submitted 2016-12-12 · 🧮 math.DS

Properties of compact center-stable submanifolds

classification 🧮 math.DS
keywords submanifoldscenter-stablecompactconditionsconsiderexistfinitegive
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We show that a partially hyperbolic system can have at most a finite number of compact center-stable submanifolds. We also give sufficient conditions for these submanifolds to exist and consider the question of whether they can intersect each other.

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