- Hacettepe Journal of Mathematics and Statistics
- Vol: 48 Issue: 4
- Isometry classes of planes in $(\mathbb{R}^3,d_{\infty})$
Isometry classes of planes in $(\mathbb{R}^3,d_{\infty})$
Authors : Mehmet Kiliç
Pages : 1110-1120
View : 15 | Download : 6
Publication Date : 2019-08-08
Article Type : Research
Abstract :We determine geodesics in $\mathbb{R}_{\infty}^n$ (i.e. $(\mathbb{R}^n,d_{\infty})$) and by using this, classify planes up to isometry in $\mathbb{R}_{\infty}^3$.Keywords : geodesic, sector, plane, isometry