Generalized distance-squared mappings of ${\mathbb{R}}^{n+1}$ into ${\mathbb{R}}^{2n+1}$

Abstract

We classify generalized distance-squared mappings of ${\mathbb{R}}^{n+1}$ into ${\mathbb{R}}^{2n+1}$ ($n\ge 1$) having generic central points. Moreover, we show that there does not exist a universal bad set $\Sigma \subset ({\mathbb{R}}^{n+1}{)}^{2n+1}$ in the case of this dimension-pair.

10 pages

Cited by in corpus (1)

• Around distance-squared mappings