Oberseminar Differentialgeometrie: Ricardo Mendes, Köln, Vortrag: Diameter of quotients of the sphere by isometric group actions
Montag, 05.11.2018 16:15 im Raum SR4
(Joint with C. Gorodski, C. Lange, A. Lytchak) We show the
existence of C>0 such that, for all n>1 and every closed
non-transitive subgroup G of O(n+1), the diameter of the quotient of
the unit sphere S^n by G is larger than C. The novelty is that C is
independent of the dimension n. The classification of finite simple
groups is used in the proof.