Geodesic paths in the finite dimensional unit sphere under sup norm

2013/08/27 by Teck-Cheong Lim, Lim, Teck-Cheong
Mathematics · #46B20 #51F99 #FOS: Mathematics #Functional Analysis (math.FA) #Metric Geometry (math.MG) #math.FA #math.MG #msc:46B20 #msc:51F99

paper · pdf · doi:10.48550/arxiv.1308.5754

12 pages

arxiv created 2013/08/27 · arxiv updated 2013/08/28

Abstract

We characterize geodesic paths in the n-dimensional unit sphere under sup norm. A geodesic path between two points is a shortest curve joining the two points.

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