Back to matchesWe found a matchYour institution may have access to this item. Find your institution then sign in to continue.TitleA diameter gap for quotients of the unit sphere.AuthorsGorodski, Claudio; Lange, Christian; Lytchak, Alexander; Mendes, Ricardo A. E.AbstractWe 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.SubjectsISOMETRICS (Mathematics); MATHEMATICAL proofs; MATHEMATICAL constants; GROUP theory; ORTHOGONAL functionsPublicationJournal of the European Mathematical Society (EMS Publishing), 2023, Vol 25, Issue 9, p3767ISSN1435-9855Publication typeArticleDOI10.4171/JEMS/1272