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2020/97/3-4 (12) — DOI: 10.5486/PMD.2020.8814 — pp. 439-447

A general version of Beltrami's theorem in Finslerian setting

Authors: Ioan Bucataru and Georgeta Creƫu

Abstract:

We present a new proof of a Finslerian version of Beltrami's theorem (1865) which works also in dimension 2.

Keywords: Finsler metrics, constant flag curvature, Beltrami's theorem, Schur's lemma, Cotton tensor

Mathematics Subject Classification: 53C60, 53B40