2009/12/15 by Andrew Clarke, Graham Smith, Clarke, Andrew +1
Mathematics · #35J25 #35J60 #53A10 #53C21 #53C42 #58E12 #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Nonlinear Partial Differential Equations #Point processes and geometric inequalities #math.DG #msc:35J25 #msc:35J60 #msc:53A10 #msc:53C21 #msc:53C42 #msc:58E12
paper · pdf · doi:10.48550/arxiv.0912.2892
arxiv created 2009/12/15 · openalex publication_date 2009/12/15 · arxiv updated 2010/01/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We describe a novel technique for solving the Plateau problem for constant curvature hypersurfaces based on recent work of Harvey and Lawson. This is illustrated by an existence theorem for hypersurfaces of constant Gaussian curvature in ℝn+1.