2024/09/30 by Bryan Dimler, Dimler, Bryan · 2 citations
Mathematics · #Geometric Analysis and Curvature Flows #Point processes and geometric inequalities #Geometric and Algebraic Topology
paper · pdf · doi:10.48550/arxiv.2409.20327
We extend Smale's singular bridge principle [Ann. of Math. 130 (1989), 603-642] for n-dimensional strictly stable minimal cones in ℝn+1 (n ≥ 7) to arbitrary codimension and each n ≥ 3. We then apply the procedure to copies of the Lawson-Osserman cone to produce a four dimensional minimal graph in ℝ7 with any finite number of isolated singularities.