A diameter gap for quotients of the unit sphere
Claudio Gorodski
Universidade de São Paulo, BrazilChristian Lange
Ludwig-Maximilians-Universität München, GermanyAlexander Lytchak
Karlsruhe Institute of Technology, GermanyRicardo A. E. Mendes
University of Oklahoma, Norman, USA
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Abstract
We prove that for any isometric action of a group on a unit sphere of dimension larger than 1, the quotient space has diameter zero or larger than a universal dimension-independent positive constant.
Cite this article
Claudio Gorodski, Christian Lange, Alexander Lytchak, Ricardo A. E. Mendes, A diameter gap for quotients of the unit sphere. J. Eur. Math. Soc. 25 (2023), no. 9, pp. 3767–3793
DOI 10.4171/JEMS/1272