Title: Global well-posedness of critical surface quasigeostrophic equation on the sphere,
Abstract: In this paper we prove global well-posedness of the critical surface
quasigeostrophic equation on the two dimensional sphere building on some
earlier work of the authors. The proof relies on an improving of the previously
known pointwise inequality for fractional laplacians as in the work of
Constantin and Vicol for the euclidean setting.