We present new steady Euler solutions on the (round) 3-sphere, that bifurcate from an ansatz proposed in [11], showing that these previously known solutions are not isolated. We also extend this ansatz to any Sasakian 3-manifold, such as the Heisenberg group and \(SL(2, \mathbb {R})\).

中文翻译：

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3球面上的稳定Euler流和其他Sasakian 3流形

我们在（圆形）3球上提出了新的稳定Euler解，该解与[11]中提出的ansatz分叉，表明这些先前已知的解决方案不是孤立的。我们还将此ansatz扩展到任何Sasakian 3流形，例如Heisenberg群和\（SL（2，\ mathbb {R}）\）。