Weyl’s theory in the generalized Lie algebroids framework

DOI10.1063/1.4903256zbMath1307.83043arXiv1409.2682OpenAlexW1979911074MaRDI QIDQ2939243

Esa Sharahi, Constantin M. Arcuş, Esmaeil Peyghan

Publication date: 19 January 2015

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

Full work available at URL: https://arxiv.org/abs/1409.2682

zbMATH Keywords

geodesicBianchi typeWeyl's theoryBerwald derivativesgeneralized Lie algebroidsWeyl type

Mathematics Subject Classification ID

Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Poisson manifolds; Poisson groupoids and algebroids (53D17) Relativistic gravitational theories other than Einstein's, including asymmetric field theories (83D05) Equations of motion in general relativity and gravitational theory (83C10) Projective differential geometry (53A20)

Related Items (2)

Remarks on generalized Lie algebroids and related concepts ⋮ Vertical and complete lifts of sections of a (dual) vector bundle and Legendre duality

Cites Work

• Almost Kähler Ricci flows and Einstein and Lagrange-Finsler structures on Lie algebroids
• A note on Poisson Lie algebroids
• Tangent and cotangent lifts and graded Lie algebras associated with Lie algebroids
• A generalization of Weyl's theorem on projectively related affine connections
• Lie algebroids, holonomy and characteristic classes
• Generalized Lie algebroids and connections over pair of diffeomorphic base manifolds
• Nonholonomic algebroids, Finsler geometry, and Lagrange-Hamilton spaces
• On the Geometry of the Tangent Bundle.
• Clifford-Finsler algebroids and nonholonomic Einstein–Dirac structures
• FINSLER AND LAGRANGE GEOMETRIES IN EINSTEIN AND STRING GRAVITY
• Towards a geometrical understanding of Douglas's solution of the inverse problem of the calculus of variations
• Geometric characterization of linearisable second-order differential equations
• Mechanical systems in the generalized Lie algebroids framework
• Lagrangian submanifolds and dynamics on Lie algebroids
• A SURVEY OF LAGRANGIAN MECHANICS AND CONTROL ON LIE ALGEBROIDS AND GROUPOIDS
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