Asymptotic linking of volume-preserving actions of ${\mathbb{R}}^k$

José L. Lizarbe Chira, Paul A. Schweitzer S. J

We extend V. Arnold's theory of asymptotic linking for two volume preserving flows on a domain in ${\mathbb{R}}^3$ and $S^3$ to volume preserving actions of ${\mathbb{R}}^k$ and ${\m…