2019/03/29 by Claudio Gorodski, Christian Lange, Gorodski, Claudio +5
Mathematics · #20D05 #22E46 #51F99 #53B21 #57S15 #Differential Geometry (math.DG) #FOS: Mathematics #Metric Geometry (math.MG) #Representation Theory (math.RT) #math.DG #math.MG #math.RT #msc:20D05 #msc:22E46 #msc:51F99 #msc:53B21 #msc:57S15
paper · pdf · doi:10.48550/arxiv.1903.12619
24 pages. The presentation has been improved following suggestions by an anonymous referee. Version accepted for publication by the Journal of the European Mathematical Society (JEMS)
arxiv created 2021/06/03 · arxiv updated 2021/06/04
We prove that for any isometric action of a group on a unit sphere of dimension larger than one, the quotient space has diameter zero or larger than a universal dimension-independent positive constant.