Periodic orbits of analytic Euler fields on 3-manifolds
Differential Geometry
2019-11-06 v1 Analysis of PDEs
Dynamical Systems
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.
Cite
@article{arxiv.1911.01967,
title = {Periodic orbits of analytic Euler fields on 3-manifolds},
author = {Francisco Torres de Lizaur},
journal= {arXiv preprint arXiv:1911.01967},
year = {2019}
}
Comments
10 pages