Tag: Blaschke定理

Title: A discrete Blaschke Theorem for convex polygons in $2$-dimensional space forms Authors: Alexander Borisenko and Vicente Miquel Categories: math.DG Comments: 11 pages, 2 figures MSC-class: 52A10, 52B99, 53C20 \\ Let $M$ be a $2$-space form. Let $P$ be a convex polygon in $M$. For these polygons, we define (and justify) a curvature $\kappa_i$ at each vertex $A_i$ of the polygon and and prove the following Blaschke’s type theorem: If $P$ is a convex plygon in $M$ with curvature at … Continue reading “A discrete Blaschke Theorem for convex polygons in $2$-dimensional space forms”