# On conformally covariant powers of the Laplacian

@article{Juhl2011OnCC, title={On conformally covariant powers of the Laplacian}, author={A. Juhl}, journal={arXiv: Differential Geometry}, year={2011} }

We propose and discuss recursive formulas for conformally covariant powers $P_{2N}$ of the Laplacian (GJMS-operators). For locally conformally flat metrics, these describe the non-constant part of any GJMS-operator as the sum of a certain linear combination of compositions of lower order GJMS-operators (primary part) and a second-order operator which is defined by the Schouten tensor (secondary part). We complete the description of GJMS-operators by proposing and discussing recursive formulas… Expand

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