On locally dually flat \((\alpha ,\beta )\)-metrics

DOI10.1016/j.difgeo.2010.12.003zbMath1217.53024OpenAlexW2012143095WikidataQ115357016 ScholiaQ115357016MaRDI QIDQ531739

Qiaoling Xia

Publication date: 19 April 2011

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.difgeo.2010.12.003

zbMATH Keywords

Finsler metric\((\alpha , \beta )\) metriclocally dually flat Finsler metric

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 (16)

Dually flat general spherically symmetric Finsler metrics ⋮ On dually flat Randers metrics ⋮ On dually flat Finsler metrics ⋮ On locally dually flat \((\alpha,\beta)\)-metrics with isotropic S-curvature ⋮ Dually flat and projectively flat Minkowskian product Finsler metrics ⋮ Unnamed Item ⋮ Unnamed Item ⋮ On dually flat square metrics ⋮ On some explicit constructions of dually flat Finsler metrics ⋮ On dually flat \((\alpha,\beta)\)-metrics ⋮ On some dually flat Finsler metrics with orthogonal invariance ⋮ On a class of dually flat general \((\alpha,\beta)\)-metrics ⋮ The Deformation of an $(\alpha, \beta)$-Metric ⋮ The variational problem in lagrange spaces endowed with a special type of (α,β)-metrics ⋮ On dually flat general \((\alpha,\beta)\)-metrics ⋮ On the construction of dually flat Finsler metrics

Cites Work

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• A class of Finsler metrics with isotropic S-curvature
• On Randers spaces of constant flag curvature
• Riemann-Finsler geometry with applications to information geometry
• On Projectively Flat (α, β)-metrics
• On a class of locally dually flat Finsler metrics of isotropic flag curvature

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