On the volume of sectional-hyperbolic sets

Abstract

For a transitive sectional-hypebolic set $\Lambda$ with positive volume on a $d$-dimensional manifold $M$($d\ge 3$), we show that $\Lambda =M$ and $\Lambda$ is a uniformly hyperbolic set without singularities

6 pages

References in corpus (1)

• Homoclinic tangencies and singular hyperbolicity for three-dimensional vector fields