Geometric structures as deformed infinitesimal symmetries

DOI10.1090/S0002-9947-06-04057-8zbMath1100.53029arXivmath/0404313MaRDI QIDQ5469203

Anthony D. Blaom

Publication date: 17 May 2006

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

Full work available at URL: https://arxiv.org/abs/math/0404313

zbMATH Keywords

foliationssymplectic structuresLie algebroidinfinitesimal symmetries\(G\)-structures

Mathematics Subject Classification ID

Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Deformations of general structures on manifolds (58H15) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Pseudogroups and differentiable groupoids (58H05) Connections (general theory) (53C05) Other connections (53B15)

Related Items (20)

Lie algebroids and Cartan’s method of equivalence ⋮ Regular Cartan groupoids and longitudinal representations ⋮ Berwald-type and Yano-type connections on Lie algebroids ⋮ BV and BFV for the H-twisted Poisson sigma model ⋮ Intrinsic characteristic classes of a local Lie group ⋮ Multiplicative Ehresmann connections ⋮ The BV action of 3D twisted R-Poisson sigma models ⋮ On the relation of Lie algebroids to constrained systems and their BV/BFV formulation ⋮ Momentum section on Courant algebroid and constrained Hamiltonian mechanics ⋮ Integration of quadratic Lie algebroids to Riemannian Cartan-Lie groupoids ⋮ Universal Cartan-Lie algebroid of an anchored bundle with connection and compatible geometries ⋮ On deformations of Lie algebroids ⋮ Characteristic classes of Lie algebroid morphisms ⋮ Cartan geometries and multiplicative forms ⋮ Lie algebroid invariants for subgeometry ⋮ Lie algebroids generated by cohomology operators ⋮ Cartan connections on Lie groupoids and their integrability ⋮ Invariant Connections, Lie Algebra Actions, and Foundations of Numerical Integration on Manifolds ⋮ Lie algebroids, gauge theories, and compatible geometrical structures ⋮ Born sigma-models for para-Hermitian manifolds and generalized T-duality

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• Tractor calculi for parabolic geometries
• Lie algebroids and Cartan’s method of equivalence
• Groupoïde d'holonomie et géométrie globale
• Lie Equations, Vol. I

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