On a question of Gromov about the Wirtinger inequalities

Takefumi Kondo; Tetsu Toyoda; Takato Uehara

doi:10.1007/s10711-017-0284-3

On a question of Gromov about the Wirtinger inequalities

Takefumi Kondo, Tetsu Toyoda, Takato Uehara

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

1 Citation (Scopus)

Abstract

We prove that Gromov’s Cycl ₄(0) condition implies Wir _k inequalities for any k≥ 4 , which answers a question of Gromov (J Math Sci N Y 119(2):178–200, 2004).

Original language	English
Pages (from-to)	203-214
Number of pages	12
Journal	Geometriae Dedicata
Volume	195
Issue number	1
DOIs	https://doi.org/10.1007/s10711-017-0284-3
Publication status	Published - Aug 1 2018
Externally published	Yes

Keywords

CAT(0) space
Cycl (0) space
Wirtinger space

ASJC Scopus subject areas

Geometry and Topology

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10.1007/s10711-017-0284-3

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title = "On a question of Gromov about the Wirtinger inequalities",

abstract = "We prove that Gromov{\textquoteright}s Cycl 4(0) condition implies Wir k inequalities for any k≥ 4 , which answers a question of Gromov (J Math Sci N Y 119(2):178–200, 2004).",

keywords = "CAT(0) space, Cycl (0) space, Wirtinger space",

author = "Takefumi Kondo and Tetsu Toyoda and Takato Uehara",

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year = "2018",

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doi = "10.1007/s10711-017-0284-3",

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AU - Toyoda, Tetsu

AU - Uehara, Takato

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Y1 - 2018/8/1

N2 - We prove that Gromov’s Cycl 4(0) condition implies Wir k inequalities for any k≥ 4 , which answers a question of Gromov (J Math Sci N Y 119(2):178–200, 2004).

AB - We prove that Gromov’s Cycl 4(0) condition implies Wir k inequalities for any k≥ 4 , which answers a question of Gromov (J Math Sci N Y 119(2):178–200, 2004).

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KW - Cycl (0) space

KW - Wirtinger space

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On a question of Gromov about the Wirtinger inequalities

Abstract

Keywords

ASJC Scopus subject areas

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