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arXiv · 1911.01967

Periodic orbits of analytic Euler fields on 3-manifolds

Francisco Torres de Lizaur
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Abstract

On any closed Riemannian 3-manifold which is not a torus bundle, every nonvanishing analytic solution of the stationary Euler equations has a periodic trajectory. This result is originally due to A. Rechtman (arXiv:0904.2719) and K. Cieliebak and E. Volkov (arXiv:1402.6484); here we present an alternative proof of it.

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Francisco Torres de Lizaur. 2019-11-05. Periodic orbits of analytic Euler fields on 3-manifolds. https://arxiv.org/abs/1911.01967

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