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math.DS2019
Vector fields and genus in dimension 3
Pierre Dehornoy, Ana Rechtman
Given a flow on a 3-dimensional integral homology sphere, we give a formula for the Euler characteristic of its transverse surfaces, in terms of boundary data only. We illustrate t…
math.DG2019★ 14 cited
A characterization of 3D steady Euler flows using commuting zero-flux homologies
Daniel Peralta-Salas, Ana Rechtman, Francisco Torres de Lizaur
We characterize, using commuting zero-flux homologies, those volume-preserving vector fields on a -manifold that are steady solutions of the Euler equations for some Riemannian…