Abstract
We prove that Gromov’s \(\mathrm {Cycl}_4(0)\) condition implies \(\mathrm {Wir}_k\) inequalities for any \(k \ge 4\), which answers a question of Gromov (J Math Sci N Y 119(2):178–200, 2004).
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The first author would like to thank Professor Hiroyasu Izeki for valuable discussions.
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Kondo, T., Toyoda, T. & Uehara, T. On a question of Gromov about the Wirtinger inequalities. Geom Dedicata 195, 203–214 (2018). https://doi.org/10.1007/s10711-017-0284-3
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DOI: https://doi.org/10.1007/s10711-017-0284-3