On a question of Gromov about the Wirtinger inequalities

Takefumi Kondo, Tetsu Toyoda, Takato Uehara

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


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 languageEnglish
Pages (from-to)203-214
Number of pages12
JournalGeometriae Dedicata
Issue number1
Publication statusPublished - Aug 1 2018
Externally publishedYes


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

ASJC Scopus subject areas

  • Geometry and Topology


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