3 papers
math.DG2003
Zermelo navigation on Riemannian manifolds
David Bao, Colleen Robles, Zhongmin Shen
In this paper, we study Zermelo navigation on Riemannian manifolds and use that to solve a long standing problem in Finsler geometry. Namely, the complete classification of strongl…
math.DG2003
Finsler Manifolds with Nonpositive Flag Curvature and Constant S-curvature
Zhongmin Shen
The flag curvature is a natural extension of the sectional curvature in Riemannian geometry, and the S-curvature is a non-Riemannian quantity which vanishes for Riemannian metrics.…
math.DG2003
On the flag curvature of Finsler metrics of scalar curvature
Xinyue Chen, Xiaohuan Mo, Zhongmin Shen
The flag curvature of a Finsler metric is called a Riemannian quantity because it is an extension of sectional curvature in Riemannian geometry. In Finsler geometry, there are seve…