2012/11/21 by Shunsuke Ichiki, Ichiki, Shunsuke, Takashi Nishimura +1
Computer Science · Engineering · Mathematics · #57R40 #57R42 #57R45 #Advanced Numerical Analysis Techniques #Algebraic and Geometric Analysis #FOS: Mathematics #Geometric Topology (math.GT) #Polynomial and algebraic computation #math.GT #msc:57R40 #msc:57R42 #msc:57R45
paper · pdf · doi:10.48550/arxiv.1211.4966
to appear in Topology and its Applications
openalex publication_date 2012/11/21 · arxiv created 2013/03/29 · arxiv updated 2013/04/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A distance-squared function is one of the most significant functions in the application of singularity theory to differential geometry. In this paper, we define naturally extended mappings of distance-squared functions, wherein each component is a distance-squared function. We investigate the properties of these mappings from the viewpoint of differential topology.