Pan Zhang

collaborators

2 papers

math.DG2026

Vafa-Witten Equations and Conformal Geometry

Teng Huang, Pan Zhang

In this article, we establish geometric and analytic constraints imposed by the existence of nontrivial solutions to the Vafa-Witten equations on closed 4-manifolds. Using conforma…

math.DG2023

$L^{2}$ -Hodge theory on Complete Almost Kähler Manifolds and the Hopf Conjecture

Teng Huang, Qiang Tan, Pan Zhang

In this article, we develop an $L^{2}$ -Hodge theory on complete $2 n$ -dimensional almost Kähler manifolds $(X, ω)$ . In the first part, we establish several identities for various Lap…

Vafa-Witten Equations and Conformal Geometry

L2-Hodge theory on Complete Almost Kähler Manifolds and the Hopf Conjecture

$L^{2}$ -Hodge theory on Complete Almost Kähler Manifolds and the Hopf Conjecture