Li, An-MinFang, Jia2021-12-172021-12-172002-01-302197-8085https://depositonce.tu-berlin.de/handle/11303/15473http://dx.doi.org/10.14279/depositonce-14246Let $x:M^n\to A^{n+1}$ be the graph of some strictly convex function $x_{n+1} = f(x_1,\cdots,x_n)$ defined in a convex domain $|Omega\subset A^n$. We introduce a Riemannian metric $G^\# = \sum\frac{\partial^2 f}{\partial x_i \partial x_j}dx_idx_j$ on $M$. In this paper we investigate the affine maximal hypersurface which is complete with respect to the metric $G^\#$, and prove a Bernstein property for the affine maximal hypersurfaces.en510 MathematikBernstein propertyaffine maximal hypersurfaceResearch Paper