Hui Liu

collaborators

Showing math.DGShow all

3 papers · 1 filter

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.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

On critical maps of the horizontal energy functional between Riemannian foliations

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

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