12 citations · 22 across the 15 of their papers we have counts for
15 papers
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…
Gradient Estimates For The CR Heat Equation On Complete noncompact Pseudo-Hermitian Manifolds
Yuxin Dong, Yibin Ren, Biqiang Zhao
In this paper, we derive local and global Li-Yau type gradient estimates for the positive solutions of the CR heat equation on complete noncompact pseudo-Hermitian manifolds. As ap…
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…
Convergence of Closed Pseudo-Hermitian Manifolds
Shu-Cheng Chang, Yuxin Dong, Yibin Ren
Based on uniform CR Sobolev inequality and Moser iteration, this paper investigates the convergence of closed pseudo-Hermitian manifolds. In terms of the subelliptic inequality, th…
Pseudo-Harmonic Maps From Complete Noncompact Pseudo-Hermitian Manifolds To Regular Balls
Tian Chong, Yuxin Dong, Yibin Ren +1
In this paper, we give an estimate of sub-Laplacian of Riemannian distance functions in pseudo-Hermitian geometry which plays a similar role as Laplacian comparison theorem in Riem…
Pseudo-Harmonic Maps From Pseudo-Hermitian Manifolds to Riemannian Manifolds
Yibin Ren, Guilin Yang
In this paper, we discuss the heat flow of a pseudo-harmonic map from a closed pseudo-Hermitian manifold to a Riemannian manifold with non-positive sectional curvature, and prove t…
On harmonic and pseudoharmonic maps from strictly pseudoconvex CR manifolds
Tian Chong, Yuxin Dong, Yibin Ren +1
In this paper, we give some rigidity results for both harmonic and pseudoharmonic maps from CR manifolds into Riemannian manifolds or Kahler manifolds. Some basicity, pluriharmoni…
Rigidity theorems of complete Kähler-Einstein manifolds and complex space forms
Tian Chong, Yuxin Dong, Hezi Lin +1
We derive some elliptic differential inequalities from the Weitzenböck formulas for the traceless Ricci tensor of a Kähler manifold with constant scalar curvature and the Bochner t…
Unstability of pseudoharmonic maps between pseudo-Hermitian manifolds
Tian Chong, Yuxin Dong, Yibin Ren
In this paper, we derive the second variation formula of pseudoharmonic maps into any pseudo-Hermitian manifolds. When the target manifold is an isometric embedded CR manifold in c…
Rigidity Theorems for Complete Sasakian Manifolds with Constant Pseudo-Hermitian Scalar Curvature
Yuxin Dong, Hezi Lin, Yibin Ren
The orthogonal decomposition of the Webster curvature provides us a way to characterize some canonical metrics on a pseudo-Hermitian manifold. We derive some subelliptic differenti…
Liouville theorem for Pseudoharmonic maps from Sasakian manifolds
Yibin Ren, Guilin Yang, Tian Chong
In this paper, we derive a sub-gradient estimate for pseudoharmonic maps from noncompact complete Sasakian manifolds which satisfy CR sub-Laplace comparison property, to simply-con…