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Compact center-stable submanifolds

  • Speaker: Andy Hammerlindl(莫纳什大学)

  • Time: Sep 26, 2017, 11:00-12:00

  • Location: Conference Room 415, Wisdom Valley 3#

Based on the work of Rodriguez-Hertz, Rodriguez-Hertz, and Ures, it is now known that a partially hyperbolic system may possess a compact embedded submanifold tangent to the center-stable or center-unstable bundle. In this talk, I will describe new examples of these objects both in dimension 3 and in higher dimensions. I will further show that any system can have at most finitely many compact cs-submanifolds and present classification results for 3-dimensional systems with cs-tori.