Riemannian geometry of Lie algebroids

DOI10.1016/j.joems.2011.09.009zbMath1267.53085arXiv0806.3522OpenAlexW2963487398WikidataQ115345720 ScholiaQ115345720MaRDI QIDQ450170

Mohamed Boucetta

Publication date: 13 September 2012

Published in: Journal of the Egyptian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0806.3522

zbMATH Keywords

Riemannian metricLie groupoidLie algebroid

Mathematics Subject Classification ID

Poisson manifolds; Poisson groupoids and algebroids (53D17) Topological groupoids (including differentiable and Lie groupoids) (22A22) Local Riemannian geometry (53B20)

Related Items (22)

On almost complex Lie algebroids ⋮ Non-geometric strings, symplectic gravity and differential geometry of Lie algebroids ⋮ Berwald-type and Yano-type connections on Lie algebroids ⋮ Killing sections and sigma models with Lie algebroid targets ⋮ Geometrization of mass in general relativity ⋮ Affine metrics and algebroid structures: application to general relativity and unification ⋮ Forces unification in the framework of transitive Lie algebroids ⋮ The geometry of generalized Cheeger-Gromoll metrics on the total space of transitive Euclidean Lie algebroids ⋮ Palatini variation in generalized geometry and string effective actions ⋮ Geometry of generalized fluid flows ⋮ Metric-Bourbaki algebroids: Cartan calculus for M-theory ⋮ `Anti-commutable' local pre-Leibniz algebroids and admissible connections ⋮ Application of Lie algebroid structures to unification of Einstein and Yang-Mills field equations ⋮ Kähler-Poisson algebras ⋮ Graded Lie algebroids: a framework for geometrization of matter and forces unification ⋮ Vortex sheets and diffeomorphism groupoids ⋮ Cosmological implications from O(D, D) ⋮ Lie algebroids, non-associative structures and non-geometric fluxes ⋮ A geometric framework for unification of gravity and electromagnetism ⋮ On contact and symplectic Lie algebroids ⋮ Metric-connection geometries on pre-Leibniz algebroids: A search for geometrical structure in string models ⋮ Almost analyticity on almost (para) complex Lie algebroids

Cites Work

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• Lectures on the geometry of Poisson manifolds
• Integrability of Lie brackets
• Connections in Poisson geometry. I: Holonomy and invariants.
• Lie algebroids, holonomy and characteristic classes
• Poisson manifolds with compatible pseudo-metric and pseudo-Riemannian Lie algebras
• The structure of noncommutative deformations
• The fundamental equations of a submersion
• Compatibilité des structures pseudo-riemanniennes et des structures de Poisson
• Transverse measures, the modular class and a cohomology pairing for Lie algebroids
• Orbits of Families of Vector Fields and Integrability of Distributions
• A SURVEY OF LAGRANGIAN MECHANICS AND CONTROL ON LIE ALGEBROIDS AND GROUPOIDS
• Noncommutative rigidity

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