78 citations · 1.2k across the 112 of their papers we have counts for
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Geodesic behavior for Finsler metrics of constant positive flag curvature on
R. L. Bryant, P. Foulon, S. Ivanov +2
We study non-reversible Finsler metrics with constant flag curvature 1 on S^2 and show that the geodesic flow of every such metric is conjugate to that of one of Katok's examples,…
Zermelo deformation of Finsler metrics by Killing vector fields
Patrick Foulon, Vladimir S. Matveev
We show how geodesics, Jacobi vector fields and flag curvature of a Finsler metric behave under Zermelo deformation with respect to a Killing vector field. We also show that Zermel…
Monochromatic metrics are generalized Berwald
Nina Bartelmeß, Vladimir S. Matveev
We show that monochromatic Finsler metrics, i.e., Finsler metrics such that each two tangent spaces are isomorphic as normed spaces, are generalized Berwald metrics, i.e., there ex…
On the groups of c-projective transformations of complete Kähler manifolds
Vladimir S. Matveev, Katharina Neusser
We show that for any complete connected Kähler manifold the index of the group of complex affine transformations in the group of c-projective transformations is at most two unless…