The classifying Lie algebroid of a geometric structure I: Classes of coframes

DOI10.1090/S0002-9947-2014-05973-4zbMath1285.53018arXiv1103.5850MaRDI QIDQ5400809

Ivan Struchiner, Rui Loja Fernandes

Publication date: 12 March 2014

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

Full work available at URL: https://arxiv.org/abs/1103.5850

zbMATH Keywords

invariantsmoduli spacessymmetriesfinite typeCartan geometriesCartan equivalence problemcoframeclassifying Lie algebroidfinite type \(G\)-structures

Mathematics Subject Classification ID

Moduli problems for differential geometric structures (58D27) Exterior differential systems (Cartan theory) (58A15) Pseudogroups and differentiable groupoids (58H05) Differential invariants (local theory), geometric objects (53A55) (G)-structures (53C10)

Related Items

Discrete structures in continuum descriptions of defective crystals ⋮ Associativity and integrability ⋮ A Kinematics of Defects in Solid Crystals ⋮ On local integration of Lie brackets ⋮ The classifying Lie algebroid of a geometric structure. II: \(G\)-structures with connection ⋮ Local and global integrability of Lie brackets

Cites Work

• Modular classes of Lie algebroid morphisms
• The infinite groups of Lie and Cartan. I: The transitive groups
• Differentiable and algebroid cohomology, Van Est isomorphisms, and characteristic classes
• Integrability of Lie brackets
• Lie algebroids, holonomy and characteristic classes
• Bochner-Kähler metrics
• Transverse measures, the modular class and a cohomology pairing for Lie algebroids
• A global formulation of the Lie theory of transformation groups
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item