9 citations · 21 across the 8 of their papers we have counts for
8 papers
Monotone quantities on -manifolds with nonnegative scalar curvature
Jiannan Chen, Haiping Fu
In this paper, we derive monotone quantities for harmonic functions on asymptotically flat 3-manifolds with simple topology and nonnegative scalar curvature. These monotone quantit…
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…
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…
Rigidity theorems for compact Bach-flat manifolds with positive constant scalar curvature
Haiping Fu, Jianke Peng
In this paper, we prove some rigidity theorems for compact Bach-flat -manifold with the positive constant scalar curvature. In particular, our conditions in Theorem 1.4 have the…
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…
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…