activity
20192025
most citedExistence and characterisation of magnetic energy minimisers on oriented, compact Riemannian 3-manifolds with boundary in arbitrary helicity classes

10 citations · 24 across the 10 of their papers we have counts for

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Showing 2020Show all

3 papers · 1 filter

math.AP2020

Existence and structure of symmetric Beltrami flows on compact -manifolds

Wadim Gerner

We show that for almost every given symmetry transformation of a Riemannian manifold there exists an eigenvector field of the curl operator, corresponding to a non-zero eigenvalue,…

math.DS2020★ 3 cited

Typical field lines of Beltrami flows and boundary field line behaviour of Beltrami flows on simply connected, compact, smooth manifolds with boundary

Wadim Gerner

We characterise the boundary field line behaviour of Beltrami flows on compact, connected manifolds with vanishing first de Rham cohomology group. Namely we show that except for an…

math.DS2020★ 1 cited

Zero set structure of real analytic Beltrami fields

Wadim Gerner

In this paper we prove a classification theorem for the zero sets of real analytic Beltrami fields. Namely, we show that the zero set of a real analytic Beltrami field on a real an…