A Liouville's theorem for some Monge-Ampère type equations

2022/03/30 by Fang Hao, Biao Ma, Fang, Hao +3 · 1 citation
Mathematics · Physics and Astronomy · #Geometry and complex manifolds #Geometric Analysis and Curvature Flows #Black Holes and Theoretical Physics

paper · pdf · doi:10.48550/arxiv.2203.16661

Abstract

We study a Monge-Ampère type equation that interpolates the classical σ₂ -Yamabe equation in conformal geometry and the 2-Hessian equation in dimension 4.

Cited by

• The fully nonlinear Loewner-Nirenberg problem: Liouville theorems and counterexamples to local boundary estimates

Related

• Liouville theorem for a class of Hessian equations
• A Liouville theorem for the Neumann problem of the Monge-Ampere equation
• Liouville theorems for a class of degenerate or singular Monge-Ampère equations
• A Liouville Theorem for the Complex Monge-Ampère Equation
• On the Monge-Ampère equation