On a class of dually flat general \((\alpha,\beta)\)-metrics

DOI10.1016/J.JMAA.2019.03.020zbMath1421.53029OpenAlexW2921143163MaRDI QIDQ2320192

Da-Xiao Zheng

Publication date: 21 August 2019

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2019.03.020

zbMATH Keywords

deformationgeodesicdually flatgeneral \((\alpha, \beta)\)-metric

Mathematics Subject Classification ID

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

Cites Work

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• Deformations and Hilbert's fourth problem
• On dually flat Finsler metrics
• On locally dually flat \((\alpha ,\beta )\)-metrics
• On a new class of Finsler metrics
• On dually flat \((\alpha,\beta)\)-metrics
• On some explicit constructions of dually flat Finsler metrics
• On dually flat general \((\alpha,\beta)\)-metrics
• Riemann-Finsler geometry with applications to information geometry
• On dually flat Randers metrics
• Projective change between arbitrary $(\alpha,\beta)$-metric and Randers metric
• ON LOCALLY DUALLY FLAT FINSLER METRICS
• On Projectively Flat (α, β)-metrics

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