Isometry Classes of Planes in (ℝ³,d_∞)

2016/08/06 by Mehmet Kılıç, Kılıç, Mehmet
Mathematics · #Point processes and geometric inequalities #Mathematics and Applications #Analytic and geometric function theory

paper · pdf · doi:10.48550/arxiv.1608.02099

Abstract

We determine geodesics in ℝ_∞ⁿ (i.e. (ℝⁿ, d_∞)) and by using this, classify planes up to isometry in ℝ_∞³.

Related

• Classifying Isometries
• Geodesics in Randers spaces of constant curvature
• The strength of a simplex is the key to a continuous isometry classification of Euclidean clouds of unlabelled points
• Geometry of geodesics
• The Hyperbolic Plane in 𝔼³