2 papers
math.DG2025
A discrete analog of Segre's theorem on spherical curves
Samuel Pacitti Gentil, Marcos Craizer
We prove a discrete analog of a certain four-vertex theorem for space curves. The smooth case goes back to the work of Beniamino Segre and states that a closed and smooth curve who…
math.DG2024
New four-vertex type theorems for spherical polygons
Samuel Pacitti Gentil
We prove discrete analogs of four-vertex type theorems of spherical curves, which imply corresponding results for space polygons. The smooth theory goes back to the work of Beniami…