A class of new complete affine maximal type hypersurfaces
Differential Geometry
2025-04-23 v2
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.
Cite
@article{arxiv.2501.08525,
title = {A class of new complete affine maximal type hypersurfaces},
author = {Yalin Sun and Ruiwei Xu},
journal= {arXiv preprint arXiv:2501.08525},
year = {2025}
}
Comments
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