A class of new complete affine maximal type hypersurfaces
arXiv:2501.08525
Abstract
In this paper we classify a kind of special Calabi hypersurfaces with negative constant sectional curvature in Calabi affine geometry. Meanwhile, we find a class of new Euclidean complete and Calabi complete affine hypersurfaces, which satisfy the affine maximal type equation and the Abreu equation with negative constant scalar curvatures.
All comments are welcome. It is the second version of arXiv:2501.08525V1. In this version we revised Proposition 3.2 and added a Remark 3.2