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math.DG2016★ 1 cited
On compact manifolds with harmonic curvature and positive scalar curvature
Hai-Ping Fu
Let be an -dimensional compact Riemannian manifold with harmonic curvature and positive scalar curvature. Assume that satisfies some integral pinching condit…
math.DG2016★ 9 cited
Four manifolds with postive Yamabe constant
Hai-Ping Fu
We refine Theorem A due to Gursky \cite{G3}. As applications, we give some rigidity theorems on four-manifolds with postive Yamabe constant. In particular, these rigidity theorems…