Isometry classes of planes in $(\mathbb{R}^3,d_{\infty})$

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

References

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