Rectifiability of non Euclidean planar self-contracted curves
classification
🧮 math.MG
keywords
curvenormself-contractedadaptationargumentbisectorconvexcurves
read the original abstract
We prove that any self-contracted curve in R 2 endowed with a C 2 and strictly convex norm, has finite length. The proof follows from the study of the curve bisector of two points in R 2 for a general norm together with an adaptation of the argument used in [2].
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