Hostname: page-component-cd9895bd7-gvvz8 Total loading time: 0 Render date: 2024-12-26T00:44:23.694Z Has data issue: false hasContentIssue false
  • English
  • Français

Average linking numbers

Published online by Cambridge University Press:  01 December 1999

GONZALO CONTRERAS  and
RENATO ITURRIAGA
GONZALO CONTRERAS
Affiliation:
CIMAT, A.P. 402, 36.000, Guanajuato, Gto, Mexico (e-mail: gonzalo, [email protected])
RENATO ITURRIAGA
Affiliation:
CIMAT, A.P. 402, 36.000, Guanajuato, Gto, Mexico (e-mail: gonzalo, [email protected])
Get access Rights & Permissions [Opens in a new window]

Abstract

We prove the existence of the average linking number, also called the Hopf invariant, for any invariant measure under a differentiable flow on $S^3$ without singularities, which has no periodic orbit of positive measure.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 19 , Issue 6 , December 1999 , pp. 1425 - 1435
Copyright
1999 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)