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Prescribed Chern scalar curvature flow on compact Hermitian manifolds with negative Gauduchon degree
Weike Yu
In this paper, we present a unified flow approach to prescribed Chern scalar curvature problem on compact Hermitian manifolds with negative Gauduchon degree. When the conformal cla…
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…
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[|…
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…
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…
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…