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math.DS2023
Proof of the Verjovsky Conjecture
Khadim War
In this paper we present a proof of the Verjovsky conjecture: Every codimension-one Anosov flow on a manifold of dimension greater than three is topologically equivalent to the sus…
math.DS2014
Integrability of C^1 invariant splittings
Stefano Luzzatto, Sina Tureli, Khadim War
We derive some new conditions for integrability of dynamically defined C^1 invariant splittings in arbitrary dimension and co-dimension. In particular we prove that every 2-dimensi…