Hui-Ya He

most citedCritical metrics of the volume functional on three-dimensional manifolds

1 citations · 1 across the 1 of their papers we have counts for

collaborators

3 papers

math.DG2021★ 1 cited

Critical metrics of the volume functional on three-dimensional manifolds

Huiya He

In this paper, we prove the three-dimensional $C P E$ conjecture with non-negative Ricci curvature. Moreover, we establish a classification result on three-dimensional vacuum static…

math.DG2018

Rigidity theorem for compact Bach-flat manifolds with positive constant $σ_{2}$

Huiya He, Haiping Fu

We prove that an n( $\geq$ 4)-dimensional compact Bach-flat manifold with positive constant $σ_{2}$ 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 $(\geq 4)$ -dimensional compact Riemannian manifold with harmonic Weyl curvature, positive scalar curvature and positive constant $σ_{2}$ . Moreov…

Critical metrics of the volume functional on three-dimensional manifolds

Rigidity theorem for compact Bach-flat manifolds with positive constant σ2​

On compact Riemannian manifolds with harmonic weyl curvature

Rigidity theorem for compact Bach-flat manifolds with positive constant $σ_{2}$