Zhongmin Shen

activity

20002024

most citedFinsler Metrics of Constant Positive Curvature on the Lie Group

s^{3}

9 citations · 9 across the 3 of their papers we have counts for

collaborators

3 papers

math.DG2024

On the Berwald-Weyl Curvature

Zhongmin Shen, Liling Sun

In this paper, we study the Berwald-Weyl curvature which is defined for a spray/Finsler metric with a volume form. We obtain some expressions for the Berwald-Weyl curvature. This q…

math.DG2019

Nonlinear spectrums of Finsler manifolds

Alexandru Kristály, Zhongmin Shen, Lixia Yuan +1

In this paper we investigate the spectral problem in Finsler geometry. Due to the nonlinearity of the Finsler-Laplacian operator, we introduce \textit{faithful dimension pairs} by…

math.DG2000★ 9 cited

Finsler Metrics of Constant Positive Curvature on the Lie Group $s^{3}$

David Bao, Zhongmin Shen

Guided by the Hopf fibration, we single out a family (indexed by a positive constant K) of right invariant Riemannian metrics on the Lie group $S^{3}$ . Using the Yasuda-Shimada theor…

On the Berwald-Weyl Curvature

Nonlinear spectrums of Finsler manifolds

Finsler Metrics of Constant Positive Curvature on the Lie Group s3

Finsler Metrics of Constant Positive Curvature on the Lie Group $s^{3}$