13 citations · 19 across the 9 of their papers we have counts for
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math.DG2018★ 3 cited
The geometry of a positively curved Zoll surface of revolution
K. Kiyohara, S. V. Sabau, K. Shibuya
In this paper, we study the geometry of the manifolds of geodesics of a Zoll surface of positive Gauss curvature, show how these metrics induce Finsler metrics of constant flag cur…
math.DG2018★ 13 cited
Geodesics on strong Kropina manifolds
Sorin V. Sabau, Kazuhiro Shibuya, Ryozo Yoshikawa
We study the behavior of the geodesics of strong Kropina spaces. The global and local aspects of geodesics theory are discussed. Our theory is illustrated with several examples.