12 citations · 20 across the 10 of their papers we have counts for
10 papers
On critical maps of the horizontal energy functional between Riemannian foliations
Tian Chong, Yuxin Dong, Xin Huang +1
In this paper, we consider critical points of the horizontal energy $E_{\HH}(f)$ for a smooth map between two Riemannian foliations. These critical points are referred to as ho…
Sobolev Inequality In Manifolds With Lower Quadratic Curvature Decay
Tian Chong, Han Luo, Lingen Lu
By using the ABP method developed by Cabré and Brendle, we establish some Sobolev inequalities for compact domains and submanifolds in a complete Riemannian manifold with lower qua…
On stability of subelliptic harmonic maps with potential
Tian Chong, Yuxin Dong, Guilin Yang
In this paper, we investigate the stability problem of subelliptic harmonic maps with potential. First, we derive the first and second variation formulas for subelliptic harmonic m…
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…
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…
Liouville Theorems for critical points of the p-Ginzburg-Landau type functional
Tian Chong, Bofeng Cheng, Yuxin Dong +1
In this paper, we consider the smooth map from a Riemannian manifold to the standard Euclidean space and the p-Ginzburg-Landau energy. Under suitable curvature conditions on the do…
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…
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…