Fixed points of discrete nilpotent group actions on $S^2$
Fixed points of discrete nilpotent group actions on $S^2$
We prove that for each integer k≥2 there is an open neighborhood 𝒱 k of the identity map of the 2-sphere S 2 , in C 1 topology such that: if G is a nilpotent subgroup of Diff 1 (S 2 ) with length k of nilpotency, generated by elements …