Anti-orthotomics of frontals and their applications

Stanisław Janeczko, Takashi Nishimura

Let $f:N^n\to {\mathbb{R}}^{n+1}$ be a frontal with its Gauss mapping $\nu :N\to S^n$ and let $P\in {\mathbb{R}}^{n+1}$ be a point such that $(f(x)-P)\cdot \nu (x)\ne 0$ for any $x\in N$.…