Abstract
We establish in what follows the fact that the linking number between two periodic orbits does not decrease along the decreasing flow-lines of a suitable pseudo-gradient for the action functional of the variational problem (J, C β ) and its extension , [2–4]. This is used to compute almost explicitly the value of the intersection operator for periodic orbits for the case of the first exotic contact form of J. Gonzalo and F. Varela [8] on S3.
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To the memory of Leon Ehrenpreis
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Bahri, A. Linking numbers in contact form geometry, with an application to the computation of the intersection operator for the first contact form of J. Gonzalo and F. Varela. Arab. J. Math. 3, 199–210 (2014). https://doi.org/10.1007/s40065-013-0088-8
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DOI: https://doi.org/10.1007/s40065-013-0088-8