Abstract
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.
Original language | English |
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Pages (from-to) | 161-171 |
Number of pages | 11 |
Journal | Mathematische Zeitschrift |
Volume | 273 |
Issue number | 1-2 |
DOIs | |
Publication status | Published - 2013 Feb |
Externally published | Yes |
Keywords
- Alexandrov space
- Filling radius
- Packing radius
ASJC Scopus subject areas
- Mathematics(all)