Riemannian metrics having common geodesics with Berwald metrics

zbMath1199.53160arXiv0811.0031MaRDI QIDQ3653787

Vladimir S. Matveev

Publication date: 29 December 2009

Full work available at URL: https://arxiv.org/abs/0811.0031

zbMATH Keywords

Finsler metricsBerwald metricsgeodesic equivalenceHilbert's 4th problemprojectively flat Finsler metricsCauchy-Frobenius system of PDE

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60) Projective differential geometry (53A20) Projective connections (53B10)

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