论文标题
半平行立方形式的共形扁平仿射性曲面
Conformally flat affine hypersurfaces with semi-parallel cubic form
论文作者
论文摘要
在本文中，我们研究了局部强烈凸起的仿射超曲面，它们具有消失的Weyl曲率张量和半平行立方形式相对于仿期度量的Levi-Civita连接。作为主要结果，我们将这种超浮标分类为不固定的仿射度量。特别是，完全确定了具有半平行立方形式的$ 2，3 $维的本地强烈凸起仿射超曲面。
In this paper, we study locally strongly convex affine hypersurfaces with vanishing Weyl curvature tensor and semi-parallel cubic form relative to the Levi-Civita connection of affine metric. As the main result, we classify such hypersurfaces being not of flat affine metric. In particular, $2, 3$-dimensional locally strongly convex affine hypersurfaces with semi-parallel cubic form are completely determined.
