2 papers
math.DG2019
A class of fully nonlinear equations arising in conformal geometry
Li Chen, Xi Guo, Yan He
In this paper, we consider a class of fully nonlinear equations on closed smooth Riemannian manifolds, which can be viewed as an extension of Yamabe equation. Moreover, we pr…
math.DG2019
Rigidity theorem for a static triple with half harmonic Weyl curvature
Li Chen, Xi Guo
In this paper, we prove that the static triple with half harmonic Weyl curvature and positive scalar curvature must be the standard hemisphere.