Guangwen Zhao

collaborators

3 papers

math.DG2026

A refined Schwarz lemma for $V$ -harmonic maps

Guangwen Zhao

In this note, we establish a refined Schwarz lemma for $V$ -harmonic maps. Specifically, we prove that if $u$ is a $V$ -harmonic map of generalized dilatation of order $β$ from a com…

math.DG2026

$L^{p}$ Liouville theorems for pluriharmonic functions on gradient Kähler-Ricci solitons

Guangwen Zhao

We study Liouville-type theorems for real-valued pluriharmonic functions on complete gradient Kähler-Ricci solitons under gradient integrability assumptions. For a complete gradien…

math.DG2024

Hermitian pluriharmonic maps between almost Hermitian manifolds

Guangwen Zhao

In the case where both the domain and target manifolds are almost Hermitian, we introduce the concept of Hermitian pluriharmonic maps. We prove that any holomorphic or anti-holomor…

A refined Schwarz lemma for V-harmonic maps

Lp Liouville theorems for pluriharmonic functions on gradient Kähler-Ricci solitons

Hermitian pluriharmonic maps between almost Hermitian manifolds

A refined Schwarz lemma for $V$ -harmonic maps

$L^{p}$ Liouville theorems for pluriharmonic functions on gradient Kähler-Ricci solitons