4 papers
Combinatorial Ricci flows with applications to the hyperbolization of cusped 3-manifolds
Ke Feng, Huabin Ge, Bobo Hua
In this paper, we adopt combinatorial Ricci curvature flow methods to study the existence of cusped hyperbolic structure on 3-manifolds with torus boundary. For general pseudo 3-ma…
The Partial -estimate along a general continuity path and applications
Ke Feng, Liangming Shen
We establish a new partial -estimate along a continuity path mixed with conic singularities along a simple normal crossing divisor and a positive twisted -form on Fan…
The Dirichlet Problem of Fully Nonlinear Equations on Hermitian Manifolds
Ke Feng, Huabin Ge, Tao Zheng
We study the Dirichlet problem of a class of fully nonlinear elliptic equations on Hermitian manifolds and derive a priori estimates which depend on the initial data on manif…
Transverse Fully Nonlinear Equations on Sasakian Manifolds and Applications
Ke Feng, Tao Zheng
We prove a priori estimates for a class of transverse fully nonlinear equations on Sasakian manifolds and give some geometric applications such as the transversion Calabi-Yau theor…