Constant Q-curvature metrics on conic 4-manifolds

2019/07/08 by Hao Fang, Biao Ma, Fang, Hao +1
Mathematics · #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.1907.03409

Abstract

We consider the constant Q-curvature metric problem in the given conformal class on conic 4-manifolds and study related differential equations.

Citations

• Asymptotic symmetry and local behavior of semilinear elliptic equations with critical sobolev growth

Related

• Existence of conformal metrics with constant Q-curvature
• Q curvature on a class of manifolds with dimension at least 5
• On constant Q-curvature metrics with isolated singularities
• The Yamabe problem for Q-curvature
• Obstructions to prescribed Q-curvature of complete conformal metrics on ℝⁿ