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math.DG2023
Optimal metrics for the first curl eigenvalue on 3-manifolds
Alberto Enciso, Wadim Gerner, Daniel Peralta-Salas
In this article we analyze the spectral properties of the curl operator on closed Riemannian 3-manifolds. Specifically, we study metrics that are optimal in the sense that they min…
math-ph2023★ 2 cited
Existence of optimal domains for the helicity maximisation problem among domains satisfying a uniform ball condition
Wadim Gerner
In the present work we present a general framework which guarantees the existence of optimal domains for isoperimetric problems within the class of -regular domains satisf…