“…The scalar curvature problem has always been one of major subject in differential geometry. Intensive studies were dedicated to this topic, in dimension 3 and 4, see [1,8,10,11,13,18,28,34] as well as in high dimensions, see [3,4,5,12,14,15,16,17,19,22,23,26,27,30,35], and the references therein.…”