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arXiv · 1903.01089

On the volume of sectional-hyperbolic sets

Daofei Zhang·Yuntao Zang
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Abstract

For a transitive sectional-hypebolic set $Λ$ with positive volume on a $d$-dimensional manifold $M$($d\ge3$), we show that $Λ=M$ and $Λ$ is a uniformly hyperbolic set without singularities

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Daofei Zhang, Yuntao Zang. 2019-03-05. On the volume of sectional-hyperbolic sets. https://doi.org/10.1007/s10114-021-0161-8

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