Metrizability problem for spray on Lie algebroids

DOI10.1142/S0219887816501152zbMath1368.53020OpenAlexW2414201926WikidataQ126257541 ScholiaQ126257541MaRDI QIDQ2830972

Morteza Mirmohammad Rezaii, Zahra Pirbodaghi

Publication date: 1 November 2016

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219887816501152

zbMATH Keywords

sprayinverse problemLie algebroidFinsler metrization

Mathematics Subject Classification ID

Poisson manifolds; Poisson groupoids and algebroids (53D17) Local differential geometry of Finsler spaces and generalizations (areal metrics) (53B40)

Cites Work

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• Inverse problem for Lagrangian systems on Lie algebroids and applications to reduction by symmetries
• Almost Kähler Ricci flows and Einstein and Lagrange-Finsler structures on Lie algebroids
• The theory of sprays and Finsler spaces with applications in physics and biology
• PROJECTIVE AND FINSLER METRIZABILITY: PARAMETERIZATION-RIGIDITY OF THE GEODESICS
• Metrizable linear connections in a Lie algebroid
• Mechanical control systems on Lie algebroids

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