On the asymptotic linking number
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- by Thomas Vogel PDF
- Proc. Amer. Math. Soc. 131 (2003), 2289-2297 Request permission
Abstract:
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.References
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Additional Information
- Thomas Vogel
- Affiliation: Mathematisches Institut, Universität München, Theresienstr. 39, 80333 München, Germany
- Email: thomas.vogel@mathematik.uni-muenchen.de
- Received by editor(s): October 29, 2001
- Received by editor(s) in revised form: February 25, 2002
- Published electronically: October 24, 2002
- Communicated by: Ronald A. Fintushel
- © Copyright 2002 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 131 (2003), 2289-2297
- MSC (2000): Primary 57R25; Secondary 37C10, 57R30, 76W05
- DOI: https://doi.org/10.1090/S0002-9939-02-06792-8
- MathSciNet review: 1963779