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Average linking numbers

Published online by Cambridge University Press:  01 December 1999

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])

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
Copyright
1999 Cambridge University Press

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