6 papers
Isoparametric functions on Finsler space forms
Yali Chen, Qun He
In this paper, we prove that transnormal functions are isoparametric functions on Finsler space forms under certain conditions, which generalize Theorem B given by Q. M.…
Isoparametric hypersurfaces and hypersurfaces with constant principal curvatures in Finsler spaces
Peilong Dong, Yali Chen
In this paper, we study the relationship between isoparametric hypersurfaces and hypersurfaces with constant principal curvatures in Finsler spaces. We give some examples of isopar…
Transnormal Functions and Focal Varieties on Finsler Manifolds
Yali Chen, Qun He
In this paper, we study transnormal functions and their level sets and focal varieties on complete Finsler manifolds. We prove that the focal varieties of a C2 transnormal function…
Hypersurfaces with Constant Mean Curvatures on Finsler manifolds
Yali Chen, Qun He, Yantong Qian
In this paper, we give the geometric meaning of hypersurfaces with constant mean curvature in a Finsler manifold by using volume preserving variation. Then we give the corresponden…
The isoparametric functions on a class of Finsler spheres
Yali Chen, Qun He
In this paper, we give global expressions of geodesics and isoparametric functions on a Randers sphere by navigation. We obtain isoparametric families and focal submanifolds in (S^…
Isoparametric hypersurfaces in Finsler space forms
Qun He, Yali Chen, Songting Yin +1
In this paper, we study isoparametric hypersurfaces in Finsler space forms by investigating focal points, tubes and parallel hypersurfaces of submanifolds. We prove that the focal…