11 citations · 30 across the 14 of their papers we have counts for
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math.DS2012★ 5 cited
Dominated splitting for exterior powers and singular hyperbolicity
Vitor Araujo, Luciana Salgado
We relate dominated splitting for a linear multiplicative cocyle with dominated splitting for the exterior powers of this cocycle. For a C1 vector field X on a 3-manifold, we can o…
math.DS2012★ 11 cited
Infinitesimal Lyapunov functions for singular flows
Vitor Araujo, Luciana Salgado
We present an extension of the notion of infinitesimal Lyapunov function to singular flows, and from this technique we deduce a characterization of partial/sectional hyperbolic set…