Riemannian Center of Mass and so called karcher mean

2014/07/03 by Hermann Karcher, Karcher, Hermann · 2 citations
Mathematics · #01A60 #53C20 #Differential Geometry (math.DG) #FOS: Mathematics #History and Overview (math.HO) #math.DG #math.HO #msc:01A60 #msc:53C20

paper · pdf · doi:10.48550/arxiv.1407.2087

arxiv created 2014/07/03 · arxiv updated 2014/07/09

Abstract

The Riemannian center of mass was constructed in [GrKa] (1973). In [GKR1, GKR2, Gr, Ka, BuKa] (1974-1981) it was successfully applied with more refined estimates. Probably in 1990 someone renamed it without justification into karcher mean and references to the older papers were omitted by those using the new name. As a consequence newcomers started to reprove results from the above papers. - Here I explain the older history.

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