On the volume of singular-hyperbolic sets
On the volume of singular-hyperbolic sets
An attractor Λ for a 3-vector field X is singular-hyperbolic if all its singularities are hyperbolic and it is partially hyperbolic with volume expanding central direction. We prove that C 1 + α singular-hyperbolic attractors, for any α > 0, always have zero volume, extending an analogous result for uniformly …