2 citations · 2 across the 4 of their papers we have counts for
10 papers · 1 filter
On differential geometry of non-degenerate CR manifolds
Yuxin Dong, Yibin Ren
In this paper, we consider a non-degenerate CR manifold (M,H(M),J) with a given pseudo-Hermitian 1-form θ, and endow the CR distribution H(M) with any Hermitian metric h instead of…
Liouville Theorems for holomorphic maps on pseudo-Hermitian manifolds
Haojie Chen, Yibin Ren
We prove some Liouville type results for generalized holomorphic maps in three classes: maps from pseudo-Hermitian manifolds to almost Hermitian manifolds, maps from almost Hermiti…
Prescribed Webster scalar curvatures on compact pseudo-Hermitian manifolds
Yuxin Dong, Yibin Ren, Weike Yu
In this paper, we investigate the problem of prescribing Webster scalar curvatures on compact pseudo-Hermitian manifolds. In terms of the method of upper and lower solutions and th…
Schwarz type lemmas for generalized holomorphic maps between pseudo-Hermitian manifolds and Hermitian manifolds
Tian Chong, Yuxin Dong, Yibin Ren +1
In this paper, we consider some generalized holomorphic maps between pseudo-Hermitian manifolds and Hermitian manifolds. By Bochner formulas and comparison theorems, we establish r…
Schwarz type lemmas for pseudo-Hermitian manifolds
Yuxin Dong, Yibin Ren, Weike Yu
In this paper, we consider some generalized holomorphic maps between pseudo-Hermitian manifolds. These maps include the \emph{CR} maps and the transversally holomorphic maps. In te…
Horizontal Gradient Estimate of Positive Pseudo-Harmonic Functions on Complete Noncompact Pseudo-Hermitian Manifolds
Yibin Ren
In this paper, we will give a horizontal gradient estimate of positive solutions of on complete noncompact pseudo-Hermitian manifolds. As a consequence, we recapture…