The $Q$-curvature on a 4-dimensional Riemannian manifold $(M,g)$ with $\int_MQdV_g=8\pi^2$

Jiayu Li; Pan Liu; Yuxiang Li

arxiv: math/0608543 · v2 · submitted 2006-08-22 · 🧮 math.DG · math.AP

The Q-curvature on a 4-dimensional Riemannian manifold (M,g) with int_MQdV_g=8π²

Jiayu Li , Yuxiang Li , Pan Liu This is my paper

classification 🧮 math.DG math.AP

keywords curvaturedimensionalmanifoldmqdvriemannianconditionsequationexistence

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In this paper we study the solutions of the $Q$-curvature equation on a 4-dimensional Riemannian manifold $(M,g)$ with $\int_MQdV_g=8\pi^2$, proving some sufficient conditions for the existence.

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The Q-curvature on a 4-dimensional Riemannian manifold (M,g) with int_MQdV_g=8π²

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