7 citations · 17 across the 15 of their papers we have counts for
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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…
Harmonic Functions, Entropy, and a Characterization of the Hyperbolic Space
Xiaodong Wang
Let be a compact Riemannian manifold with . It is well known that the bottom of spectrum of its unverversal covering satisfies $λ_{0}\leq(n-1) ^…
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 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…