4 citations · 8 across the 10 of their papers we have counts for
8 papers · 1 filter
C^0 estimates for Hessian quotient equations on HKT manifolds
Li Chen
We show the estimate for solutions to Hessian quotient equations on hyperKähler with torsion manifolds without any additional assumption on its hypercomplex structure by a cl…
Hessian equations of Krylov type on Kähler manifolds
Li Chen
In this paper, we consider Hessian equations with its structure as a combination of elementary symmetric functions on closed Kähler manifolds. We provide a sufficient and necessary…
Horo-convex hypersurfaces with prescribed shifted Gauss curvatures in
Li Chen, Kang Xiao, Qiang Tu
In this paper, we consider prescribed shifted Gauss curvature equations for horo-convex hypersurfaces in . Under some sufficient condition, we obtain an existence…
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…
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.
Translating surfaces of the non-parametric mean curvature flow in Lorentz manifold
Li Chen, Dan-Dan Hu, Jing Mao +1
In this paper, for the Lorentz manifold , with a -dimensional complete surface with nonnegative Gaussian curvature, we investigate its space-like…