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Periodic J-trajectories on R×S3

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Abstract In this paper we find the equations of motion for a J -trajectory in the product space R × S 3 . We study the periodicity of J -trajectories… Click to show full abstract

Abstract In this paper we find the equations of motion for a J -trajectory in the product space R × S 3 . We study the periodicity of J -trajectories whose projection on the 3-sphere is a Legendre curve and we find a periodicity criterion. We obtain also the contact angle for the projection on S 3 of a J -trajectory.

Keywords: geometry; periodic trajectories

Journal Title: Journal of Geometry and Physics
Year Published: 2018

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