activity
20192022
most citedOn subelliptic harmonic maps with potential

1 citations · 1 across the 2 of their papers we have counts for

collaborators

6 papers

math.DG2022

A generalization of the Schwarz lemma for transversally harmonic maps

Xin Huang, Weike Yu

In this paper, we consider transversally harmonic maps between Riemannian manifolds with Riemannian foliations. In terms of the Bochner techniques and sub-Laplacian comparison theo…

math.DG20221 cited

On subelliptic harmonic maps with potential

Yuxin Dong, Han Luo, Weike Yu

Let be a sub-Riemannian manifold and be a Riemannian manifold. For a smooth map , we consider the energy functional $E_G(u) = \frac{1}{2} \int_M[|…

math.DG2021

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…

math.DG2020

Generalized maximum principles and stochastic completeness for pseudo-Hermitian manifolds

Yuxin Dong, Weike Yu

In this paper, we establish a generalized maximum principle for pseudo-Hermitian manifolds. As corollaries, Omori-Yau type maximum principles for pseudo-Hermitian manifolds are ded…

math.DG2020

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…

math.DG2019

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…