4 citations · 10 across the 11 of their papers we have counts for
12 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.…
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…
Isoparametric hypersurfaces of conic Finsler manifolds
Qun He, Xin Huang, Peilong Dong
In this paper, we introduce isoparametric functions and isoparametric hypersurfaces in conic Finsler spaces. We find that in a conic Minkowski space, besides the conic Minkowski hy…
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 Randers space forms
Qun He, Peilong Dong, Songting Yin
In this paper, we discuss anisotropic submanifolds and isoparametric hypersurfaces in a Randers space form (N,F) with the navigation datum (h,W). We find that (N, F) with respect t…
The maximum diam theorem on Finsler manifolds
Songting Yin, Qun He
We prove that, for a Finsler space, if the weighted Ricci curvature is bounded below by a positive number and the diam attains its maximal value, then it is isometric to a standard…
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…
The Mean Curvature Flow in Minkowski Spaces
Fanqi Zeng, Qun He, Bin Chen
Studying the geometric flow plays a powerful role in mathematics and physics. In this paper, we introduce the mean curvature flow on Finsler manifolds and give a number of examples…
Monotonicity of eigenvalues of geometric operaters along the Ricci-Bourguignon flow
Fanqi Zeng, Qun He, Bin Chen
In this paper, we study monotonicity of eigenvalues of Laplacian-type operator , where is a constant, along the Ricci-Bourguignon flow. For , We derive monotonic…
Isoparametric Hypersurfaces in Minkowski Spaces
Qun He, SongTing Yin, YiBing Shen
In this paper, we introduce isoparametric functions and isoparametric hypersurfaces in Finsler manifolds and give the necessary and sufficient conditions for a transnormal function…
On Lower Bounds of the First Eigenvalue of Finsler-Laplacian
Songting Yin, Qun He, Yibing Shen
By using Bochner technique and gradient estimate, we give the lower bound estimates of the first eigenvalue of Finsler-Laplacian on Finsler manifolds. These results generalize the…