The singular set of minimal surfaces near polyhedral cones

Maria Colombo, Nick Edelen, Luca Spolaor

We adapt the method of Simon [JDG '93] to prove a $C^{1,\alpha }$-regularity theorem for minimal varifolds which resemble a cone ${\mathbf{C}}_0^2$ over an equiangular geodesic net. For varifo…