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- W2767284589 abstract "We prove that a Finsler metric is nonpositively curved in the sense of Busemann if and only if it is affinely equivalent to a Riemannian metric of nonpositive sectional curvature. In other terms, such Finsler metrics are precisely Berwald metrics of nonpositive flag curvature. In particular in dimension 2 every such metric is Riemannian or locally isometric to that of a normed plane. In the course of the proof we obtain new characterizations of Berwald metrics in terms of the so-called linear parallel transport." @default.
- W2767284589 created "2017-11-17" @default.
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- W2767284589 date "2017-11-08" @default.
- W2767284589 modified "2023-09-28" @default.
- W2767284589 title "Rigidity of Busemann convex Finsler metrics" @default.
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