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math.DG2022
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.…
math.DG2022
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…
math.DG2022
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…