Gábor Székelyhidi

Uniqueness of certain cylindrical tangent cones

Abstract We show that the cylindrical tangent cone $C\times \mathbf{R}$ C × R for an area-minimizing hypersurface is unique, where $C$ C is the Simons cone $C_{S}= C(S^{3}\times S^{3})$ C S = C ( S 3 × S 3 ) . Previously Simon proved a uniqueness result for cylindrical tangent co...