Hui Liu

collaborators

4 papers

math.DG2026

Schwarz lemmas and rigidity of $\bar\partial_b$-harmonic maps

Xin Huang, Hui Liu

We prove Schwarz lemmas for $\bar\partial_b$-harmonic maps from complete pseudo-Hermitian manifolds into K"ahler manifolds of negative curvature. For maps of bounded generalized…

math.CO2026

Hamiltonian cycles and Hamiltonian paths in $2 k$ -connected, $1$ -tough and $(P_{3} \cup k P_{1})$ -free graphs

Hui Liu, Yingzhi Tian

A graph $G$ is called Hamiltonian if it possesses a Hamiltonian cycle; and $G$ is called Hamiltonian-connected if it contains a Hamiltonian path between any two distinct vertices.…

math.DG2025

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 $f$ between two Riemannian foliations. These critical points are referred to as ho…

math.DG2025

On $\partial_{b}$ -harmonic maps from pseudo-Hermitian manifolds to Kähler manifolds

Yuxin Dong, Hui Liu, Biqiang Zhao

In this paper, we consider maps from pseudo-Hermitian manifolds to Kähler manifolds and introduce partial energy functionals for these maps. First, we obtain a foliated Lichnerowic…

Schwarz lemmas and rigidity of \(\bar\partial_b\)-harmonic maps

Hamiltonian cycles and Hamiltonian paths in 2k-connected, 1-tough and (P3​∪kP1​)-free graphs

On critical maps of the horizontal energy functional between Riemannian foliations

On ∂b​-harmonic maps from pseudo-Hermitian manifolds to Kähler manifolds

Hamiltonian cycles and Hamiltonian paths in $2 k$ -connected, $1$ -tough and $(P_{3} \cup k P_{1})$ -free graphs

On $\partial_{b}$ -harmonic maps from pseudo-Hermitian manifolds to Kähler manifolds