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Bootstrapping regularity of the Anosov splitting. (English) Zbl 0790.58029
Summary: Finite smoothness of the Anosov splitting implies $$C^{\infty}$$.

MSC:
 37D99 Dynamical systems with hyperbolic behavior 37D40 Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) 53D25 Geodesic flows in symplectic geometry and contact geometry 37C85 Dynamics induced by group actions other than $$\mathbb{Z}$$ and $$\mathbb{R}$$, and $$\mathbb{C}$$ 53C12 Foliations (differential geometric aspects) 53C20 Global Riemannian geometry, including pinching 53C35 Differential geometry of symmetric spaces
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References:
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