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math.DG2018
Rigidity theorem for compact Bach-flat manifolds with positive constant
Huiya He, Haiping Fu
We prove that an n( 4)-dimensional compact Bach-flat manifold with positive constant is an Einstein manifold, provided that its Weyl curvature satisfies a suitable pinc…
math.DG2018
On compact Riemannian manifolds with harmonic weyl curvature
Haiping Fu, Huiya He
We give some rigidity theorems for an n-dimensional compact Riemannian manifold with harmonic Weyl curvature, positive scalar curvature and positive constant . Moreov…