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Average linking numbers
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.
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| Published in: | Ergodic theory and dynamical systems 1999-12, Vol.19 (6), p.1425-1435 |
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| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Citations: | Items that cite this one |
| Online Access: | Get full text |
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| Summary: | 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. |
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| ISSN: | 0143-3857 1469-4417 |
| DOI: | 10.1017/S0143385799146777 |