Deformations and Hilbert's fourth problem

DOI10.1007/S00208-015-1324-7zbMath1348.53031arXiv1209.0845OpenAlexW2963165770MaRDI QIDQ303615

Changtao Yu

Publication date: 22 August 2016

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1209.0845

zbMATH Keywords

projectively flatHilbert's fourth problem\((\alpha,\beta)\)-metric\(\beta\)-deformationBerwald metricirreversible metricnavigation problem

Mathematics Subject Classification ID

Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60) Local differential geometry of Finsler spaces and generalizations (areal metrics) (53B40)

Related Items (22)

Projectively flat Finsler metrics defined by the Euclidean metric and related 1-forms ⋮ On dually flat Randers metrics ⋮ On square metrics of scalar flag curvature ⋮ On singular square metrics with vanishing Douglas curvature ⋮ Reduction of certain projectively flat Finsler metrics ⋮ On a class of projectively flat Finsler metrics ⋮ Conformal vector fields of projectively flat \(( \alpha,\beta )\)-Finsler spaces ⋮ Rigidity of Finsler gradient steady Ricci soliton ⋮ Hilbert’s Fourth Problem and Projectively Flat Finsler Metrics ⋮ Unnamed Item ⋮ Unnamed Item ⋮ On a class of locally projectively flat Finsler metrics (II) ⋮ On dually flat square metrics ⋮ Some remarks on Einstein-Randers metrics ⋮ Reduction of certain Douglas flat Finsler metrics ⋮ On a class of Finsler metrics of scalar flag curvature ⋮ On dually flat \((\alpha,\beta)\)-metrics ⋮ On Riemann curvature of singular square metrics ⋮ On a Class of Finsler Metrics of Scalar Flag Curvature ⋮ On a class of dually flat general \((\alpha,\beta)\)-metrics ⋮ Projectively flat general \((\alpha, \beta)\)-metrics with constant flag curvature ⋮ On dually flat general \((\alpha,\beta)\)-metrics

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