Applications of PDEs to the study of affine surface geometry

P. Gilkey, X. Valle-Regueiro

If $\mathcal{M}=(M,\nabla )$ is an affine surface, let $\mathcal{Q}(\mathcal{M}):=\ker (\mathcal{H}+\frac{1}{m-1}{\rho }_s)$ be the space of solutions to the quasi-Einstein equation for the…