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math.DG2024★ 1 cited
Coulomb Gauges and Regularity for Stationary Weak YangMills Connections in Supercritical Dimension
Riccardo Caniato, Tristan Rivière
We prove that stationary YangMills fields in dimensions 5 belonging to the variational class of weak connections are smooth away from a closed singular set of vanishing 1-di…
math.DG2024
A Variational Theory for The Area of Legendrian Surfaces
Alessandro Pigati, Tristan Rivière
We study a new notion of critical point for the area of surfaces under the Legendrian constraint, called parametrized Hamiltonian stationary Legendrian varifolds (PHSLVs). We estab…