Rectifiability of non Euclidean planar self-contracted curves

Antoine Lemenant

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arXiv · 1604.02673

Rectifiability of non Euclidean planar self-contracted curves

Antoine Lemenant

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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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BibTeX RIS

Antoine Lemenant. 2016-03-31. Rectifiability of non Euclidean planar self-contracted curves. https://arxiv.org/abs/1604.02673

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