2011/02/15 by Ákos G. Horváth, Horváth, Ákos G., Horst Martini +1
Engineering · Mathematics · #46B20 #52A10 #52A21 #53A04 #Advanced Numerical Analysis Techniques #FOS: Mathematics #Mathematics and Applications #Metric Geometry (math.MG) #Point processes and geometric inequalities
paper · doi:10.48550/arxiv.1102.3008
openalex publication_date 2011/02/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study the generalized analogues of conics for normed planes by using the following natural approach: It is well known that there are different metrical definitions of conics in the Euclidean plane. We investigate how these definitions extend to normed planes, and we show that in this more general framework these different definitions yield, in almost all cases, different classes of curves.