2019/05/27 by Oleg Karpenkov, Karpenkov, Oleg
Engineering · Mathematics · #05Cxx #52C30 #Advanced Differential Equations and Dynamical Systems #Combinatorics (math.CO) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Metric Geometry (math.MG) #Structural Analysis and Optimization
paper · pdf · doi:10.48550/arxiv.1905.11262
openalex publication_date 2019/05/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this small note we introduce a notion of self-stresses on the set functions in two variables with generic critical points. The notion naturally comes from a rather exotic representation of classical Maxwell frameworks in terms of differential forms. For the sake of clarity we work in the two-dimensional case only. However all the definitions for the higher dimensional case are straightforward.