7 citations · 10 across the 6 of their papers we have counts for
6 papers · 1 filter
Kähler Finsler Metrics and Conformal Deformations
Bin Chen, Yibing Shen, Lili Zhao
The conformal properties of complex Finsler metrics are studied. We give a characterization of a compact complex Finsler manifold to be globally conformal Kähler. The critical poin…
Nontrivial minimal surfaces in a hyperbolic Randers space
Ningwei Cui, Yi-Bing Shen
The contribution of this paper is two-fold. The first one is to derive a simple formula of the mean curvature form for a hypersurface in the Randers space with a Killing field, by…
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 projectively flat Kropina metrics
Xiaoling Zhang, Yibing Shen
In this paper, a characteristic condition of the projectively flat Kropina metric is given. By it, we prove that a Kropina metric with constant curvature and $\|β\|_α…
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…
On Einstein Kropina metrics
Xiaoling Zhang, Yi-Bing Shen
In this paper, a characteristic condition of Einstein Kropina metrics is given. By the characteristic condition, we prove that a non-Riemannian Kropina metric with…