Geodesic
On estimating from above the perimeter of an asymmetric unit disk in the Minkowski plane
Zapiski Nauchnykh Seminarov POMI, Geometry and topology. Part 8, Tome 299 (2003), pp. 262-266 Cet article a éte moissonné depuis la source Math-Net.Ru

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It is proved that each convex planar fugure $K\subset\mathbb R^2$ contains a point $O$ such that the perimeter of $K$ computed with respect to the Minkowski distance function of the pair $(K,O)$ is at most 9. If $K$ is a triangle, then this estimate is sharp. 
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V. V. Makeev. On estimating from above the perimeter of an asymmetric unit disk in the Minkowski plane. Zapiski Nauchnykh Seminarov POMI, Geometry and topology. Part 8, Tome 299 (2003), pp. 262-266. http://geodesic.mathdoc.fr/item/ZNSL_2003_299_a16/

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