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20182020
most citedCombinatorial Ricci flows and the hyperbolization of a class of compact 3-manifolds

21 citations · 38 across the 5 of their papers we have counts for

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math.DG2020★ 21 cited

Combinatorial Ricci flows and the hyperbolization of a class of compact 3-manifolds

Ke Feng, Huabin Ge, Bobo Hua

We prove that for a compact 3-manifold M with boundary admitting an ideal triangulation T with valence at least 10 at all edges, there exists a unique complete hyperbolic metric wi…

math.DG2020

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…

math.DG2019★ 1 cited

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…

math.DG2019★ 8 cited

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…

math.DG2018★ 8 cited

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…