On the asymptotic linking number

By T. Vogel. 2000

49 citations recorded by the source corpus.

We prove a theorem formulated by V. I. Arnold concerning a relation between the asymptotic linking number and the Hopf invariant of divergence-free vector fields. Using a modified definition for the system of short paths, we prove their existence in the general case.

Subfields: Geometry and Topology, Mathematical Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/b27eb9f4d653f8dd6a06c3bc97fb8f10b0ea8d36