2022/02/01 by Francesco Boarotto, Boarotto, Francesco, Roberto Monti +3
Mathematics · #46A30 #53C17 (Primary) 49K15 #93B17 (Secondary) #Analytic and geometric function theory #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Nonlinear Partial Differential Equations #Optimization and Control (math.OC)
paper · pdf · doi:10.48550/arxiv.2202.00300
openalex publication_date 2022/02/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/02
We prove Goh conditions of order n for strictly singular length minimizing curves of corank 1, under the assumption that the lower order intrinsic differentials of the end-point map vanish. This result relies upon the proof of an open mapping theorem for maps with non-singular nth differential.