Li-Qun Xiao

most citedRigidity Theorem for integral pinched shrinking Ricci solitons

9 citations · 9 across the 3 of their papers we have counts for

collaborators

3 papers

math.DG2015

Some $L^{p}$ rigidity results for complete manifolds with harmonic curvature

Hai-Ping Fu, Li-Qun Xiao

Let $(M^{n}, g) (n \geq 3)$ be an $n$ -dimensional complete Riemannian manifold with harmonic curvature and positive Yamabe constant. Denote by $R$ and $R m ˚$ the scalar curvatu…

math.DG2015★ 9 cited

Rigidity Theorem for integral pinched shrinking Ricci solitons

Hai-Ping Fu, Li-Qun Xiao

We prove that an $n$ -dimensional, $n \geq 4$ , compact gradient shrinking Ricci soliton satisfying a $L^{\frac{n}{2}}$ -pinching condition is isometric to a quotient of the round $\mathbb…

math.AP2014

Existence of a nontrivial solution for a strongly indefinite periodic Schrodinger-Poisson system

Shaowei Chen, Liqian Xiao

We consider the Schrödinger-Poisson system \begin{eqnarray}\left\{\begin{array} [c]{ll} -Δu+V(x) u+|u|^{p-2}u=λϕu, & \mbox{in}\mathbb{R}^{3},\\ -Δϕ= u^{2}, & \mbox{in}\mathbb{R}^{3…

Some Lp rigidity results for complete manifolds with harmonic curvature

Rigidity Theorem for integral pinched shrinking Ricci solitons

Existence of a nontrivial solution for a strongly indefinite periodic Schrodinger-Poisson system

Some $L^{p}$ rigidity results for complete manifolds with harmonic curvature