\begin{align} L=R-4\dfrac{n-1}{n-2}\nabla^k\nabla_k \end{align} What is the formal name for $L$? I have seen it referred to as the conformal laplacian, however I thought I once read $L$ with a formal name in another article, possibly named after some else?
2026-03-29 12:41:07.1774788067
What is the formal name for the conformal laplacian?
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In Lorentzian signature, the conformal Laplacian is also known as the conformal wave operator. In Riemannian signature, it is also known as the Yamabe operator. The reason for these names is mentioned on page 14 of Sean Curry & Rod Gover's conformal geometry notes.