2022/10/24 by Peilong Dong, Yali Chen, Dong, Peilong +1
Physics and Astronomy · Mathematics · Medicine · #Advanced Differential Geometry Research #Geometric Analysis and Curvature Flows #Automotive and Human Injury Biomechanics
paper · pdf · doi:10.48550/arxiv.2210.12937
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.