4 citations · 8 across the 5 of their papers we have counts for
5 papers
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…
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…