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math.SG2014★ 11 cited
A note on the stationary Euler equations of hydrodynamics
K. Cieliebak, E. Volkov
This note concerns stationary solutions of the Euler equations for an ideal fluid on a closed 3-manifold. We prove that if the velocity field of such a solution has no zeroes and r…
math.SG2010★ 4 cited
Stable Hamiltonian structures in dimension three are supported by open books
Kai Cieliebak, Evgeny Volkov
We prove that every stable Hamiltonian structure on a closed oriented three-manifold is stably homotopic to one which is supported (with suitable signs) by an open book.