2 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.DG2000
Finsler Metrics of Constant Positive Curvature on the Lie Group
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 . Using the Yasuda-Shimada theor…