Exponential volume limits

Snir Ben Ovadia, Federico Rodriguez-Hetrz

Let $M$ be a $d$-dimensional closed Riemannian manifold, let $f\in {\mathrm{Diff}}^{1+\beta }(M)$, and denote by $m$ the Riemannian volume form of $M$. We prove that if $m\circ f^{-n}\xrig…