# Heat kernel expansions, ambient metrics and conformal invariants

@article{Juhl2014HeatKE, title={Heat kernel expansions, ambient metrics and conformal invariants}, author={Andreas Juhl}, journal={arXiv: Differential Geometry}, year={2014} }

The conformal powers of the Laplacian of a Riemannian metric which are known as the GJMS-operators admit a combinatorial description in terms of the Taylor coefficients of a natural second-order one-parameter family $\H(r;g)$ of self-adjoint elliptic differential operators. $\H(r;g)$ is a non-Laplace-type perturbation of the conformal Laplacian $P_2(g) = \H(0;g)$. It is defined in terms of the metric $g$ and covariant derivatives of the curvature of $g$. We study the heat kernel coefficients… Expand

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