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Browsing by Author "Matveev, VS"
Now showing items 1-3 of 3
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A solution of a problem of Sophus Lie: Normal forms of two-dimensional metrics admitting two projective vector fields
(Mathematische Annalen, 2008-02-01)We give a complete list of normal forms for the two-dimensional metrics that admit a transitive Lie pseudogroup of geodesic-preserving transformations and we show that these normal forms are mutually non-isometric. This ... -
Geodesic behavior for Finsler metrics of constant positive flag curvature on $S^2$
(2017-11-01)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, which form a 1-parameter family. In particular, ... -
Geodesic behavior for Finsler metrics of constant positive flag curvature on S^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, which form a 1-parameter family. In particular, ...
