On the filling radius of positively curved Alexandrov spaces

Takumi Yokota

doi:10.1007/s00209-012-0999-7

On the filling radius of positively curved Alexandrov spaces

Takumi Yokota

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

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
Pages (from-to)	161-171
Number of pages	11
Journal	Mathematische Zeitschrift
Volume	273
Issue number	1-2
DOIs	https://doi.org/10.1007/s00209-012-0999-7
Publication status	Published - 2013 Feb
Externally published	Yes

Keywords

Alexandrov space
Filling radius
Packing radius

ASJC Scopus subject areas

Mathematics(all)

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10.1007/s00209-012-0999-7

Cite this

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title = "On the filling radius of positively curved Alexandrov spaces",

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.",

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author = "Takumi Yokota",

year = "2013",

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doi = "10.1007/s00209-012-0999-7",

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AB - 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.

KW - Alexandrov space

KW - Filling radius

KW - Packing radius

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U2 - 10.1007/s00209-012-0999-7

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JO - Mathematische Zeitschrift

JF - Mathematische Zeitschrift

SN - 0025-5874

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ER -

On the filling radius of positively curved Alexandrov spaces

Abstract

Keywords

ASJC Scopus subject areas

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