Equilateral $p$-gons in ${\mathbb{R}}^d$ and deformed spheres and mod $p$ Fadell-Husseini index

Andrés Angel, Jerson Borja

We introduce the concept of $r$-equilateral $m$-gons. We prove the existence of $r$-equilateral $p$-gons in ${\mathbb{R}}^d$ if $r<d$ and the existence of equilateral $p$-gons in the…