“…The complete manifolds with harmonic curvature have been studied in literature (e.g., [5,6,9,10,11,12,13,14,17,20,22,24,27,29,30,32]). Some isolation theorems of Weyl curvature tensor of positive Einstein manifolds are given in [7,14,17,20,29], when its L p -norm is small. Some scholars classify conformally flat manifolds satisfying some curvature L p -pinching conditions [6,12,13,17,27,32].…”