On the nonexistence of fat partially hyperbolic horseshoes
classification
🧮 math.DS
keywords
horseshoeshyperbolicpartiallybowenclassclassicaldiffeomorphismsdifferentiability
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We show that there are no partially hyperbolic horseshoes with positive Lebesgue measure for diffeomorphisms whose class of differentiability is higher than 1. This generalizes a classical result by Bowen for uniformly hyperbolic horseshoes.
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