Study on geometric structures on Lie algebroids with optimal control applications

DOI10.1080/14029251.2020.1819604zbMath1441.17021OpenAlexW3083424238MaRDI QIDQ5121135

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Publication date: 10 September 2020

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/14029251.2020.1819604

zbMATH Keywords

optimal controlLie algebroidcovariant derivativeDouglas tensorBerwald and Yano-derivatives

Mathematics Subject Classification ID

Lie algebras of vector fields and related (super) algebras (17B66) Geometric methods in ordinary differential equations (34A26) Connections (general theory) (53C05) Manifolds and measure-geometric topics (49Q99)

Cites Work

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• Generalized gradients on Lie algebroids
• A note on Poisson Lie algebroids
• Nonholonomic Lagrangian systems on Lie algebroids
• Tangent and cotangent lifts and graded Lie algebras associated with Lie algebroids
• Lie algebroids and Poisson-Nijenhuis structures
• On the projective geometry of sprays
• Classical field theory on Lie algebroids: multisymplectic formalism
• Lie algebroids, holonomy and characteristic classes
• Nonholonomic algebroids, Finsler geometry, and Lagrange-Hamilton spaces
• Symmetries of second order differential equations on Lie algebroids
• Clifford-Finsler algebroids and nonholonomic Einstein–Dirac structures
• Berwald-type and Yano-type connections on Lie algebroids
• Mechanical control systems on Lie algebroids
• Lagrangian submanifolds and dynamics on Lie algebroids
• Lagrangian mechanics on Lie algebroids

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