Local structure of Koszul-Vinberg and of Lie algebroids

DOI10.1016/j.bulsci.2004.02.007zbMath1065.53028OpenAlexW2090686295MaRDI QIDQ1771065

Michel Nguiffo Boyom, Robert A. Wolak

Publication date: 7 April 2005

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.bulsci.2004.02.007

zbMATH Keywords

HolonomyAffine structureKV-algebroidSingular foliation

Mathematics Subject Classification ID

Foliations (differential geometric aspects) (53C12) Foliations in differential topology; geometric theory (57R30) Fiber bundles in algebraic topology (55R10)

Related Items (3)

KV-cohomology and differential geometry of affinely flat manifolds. Information geometry ⋮ KV cohomology group of some KV structures on \(\mathbb{R}^2\) ⋮ Kaehlerian reductions in solvable Lie groups and applications

Cites Work

• The local structure of Poisson manifolds
• Feuilletage singulier défini par une distribution presque régulière. (Singular foliations defined by an almost regular distribution)
• Distributions involutives singulieres
• Frobenius avec singularites. II: Le cas général
• Affine structures and KV-cohomology
• Connections in Poisson geometry. I: Holonomy and invariants.
• Lie algebroids, holonomy and characteristic classes
• Ehresmann connections for Lagrangian foliations
• Sur les singularités des formes différentielles
• Holonomy of Poisson manifolds and the modular class
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