7 citations · 11 across the 5 of their papers we have counts for
6 papers
Ricci and Scalar Curvature Rigidity of the Hemisphere
Fengbo Hang, Xiaodong Wang
We retract the scalar curvature rigidity theorem as there is a mistake in the proof. We thank S. Montiel for pointing out the mistake.
A Rigidity Theorem for the Hemisphere
Fengbo Hang, Xiaodong Wang
We prove the following rigidity theorem: For an n-dimensional compact Riemannian manifold with boundary whose Ricci curvature is bounded by n-1 from below, if its boundary is isome…
An integral equation in conformal geometry
Fengbo Hang, Xiaodong Wang, Xiaodong Yan
We study the existence of a metric with zero scalar curvature maximizing the isoperimetric ratio among all zero scalar curvature metrics in a fixed conformal class of metrics on a…
On the integral systems related to Hardy-Littlewood-Sobolev inequality
Fengbo Hang
We prove all the maximizers of the sharp Hardy-Littlewood-Sobolev inequality are smooth. More generally, we show all the nonnegative critical functions are smooth, radial with resp…
On a conjecture of Schroeder and Strake
Fengbo Hang, Xiaodong Wang
We prove some rigidity results for compact manifolds with boundary. In particular for a compact Riemannian manifold with nonnegative Ricci curvature and simply connected mean conve…
On the higher order conformal covariant operators on the sphere
Fengbo Hang
We will show that in the conformal class of the standard metric on , the scaling invariant functional maximizes a…