Mathematische Zeitschrift

, Volume 273, Issue 1, pp 161-171

First online:

On the filling radius of positively curved Alexandrov spaces

  • Takumi YokotaAffiliated withResearch Institute for Mathematical Sciences, Kyoto University Email author 

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It was shown by F. Wilhelm that Gromov’s filling radius of any positively curved closed Riemannian manifolds are less than that of the round sphere unless they are isometric to each other. In this short paper, we adapt his proof to see that the same is true for any positively curved closed Alexandrov spaces as well.


Alexandrov space Filling radius Packing radius

Mathematics Subject Classification (2010)