Remarks on GJMS operator of order six

  title={Remarks on GJMS operator of order six},
  author={Xuezhang Chen and Fei Hou},
  journal={arXiv: Differential Geometry},
We study analysis aspects of the sixth order GJMS operator $P_g^6$. Under conformal normal coordinates around a point, the expansions of Green's function of $P_g^6$ with pole at this point are presented. As a starting point of the study of $P_g^6$, we manage to give some existence results of prescribed $Q$-curvature problem on Einstein manifolds. One among them is that for $n \geq 10$, let $(M^n,g)$ be a closed Einstein manifold of positive scalar curvature and $f$ a smooth positive function in… Expand
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