论文标题
芬斯勒空间中具有恒定主曲线的等载曲面和曲面
Isoparametric hypersurfaces and hypersurfaces with constant principal curvatures in Finsler spaces
论文作者
论文摘要
在本文中，我们研究了等距曲面与超曲面之间的关系 在Finsler空间中具有恒定的主曲线。我们给出了一些示例的等法性超曲面，具有（非）具有非恒定标志曲率的Randers歧管上的（非）恒定主曲率。此外，我们构建了一个形式平坦的兰德斯歧管的例子，该兰德斯歧管接受了一个具有持续的主曲线的非异地术超平面的家族。
In this paper, we study the relationship between isoparametric hypersurfaces and hypersurfaces with constant principal curvatures in Finsler spaces. We give some examples of isoparametric hypersurfaces with (non)constant principal curvatures on Randers manifolds with nonconstant flag curvatures. Furthermore, we construct an example of a conformally flat Randers manifold which admits a family of nonisoparametric hyperplanes with constant principal curvatures.
