Strong projective limit of Banach Lie algebroids

DOI10.4171/PM/1902zbMath1256.46047MaRDI QIDQ2428726

Patrick Cabau

Publication date: 20 April 2012

Published in: Portugaliae Mathematica. Nova Série (Search for Journal in Brave)

zbMATH Keywords

projective limitLie algebroidBanach vector bundleFréchet manifolds

Mathematics Subject Classification ID

Spaces defined by inductive or projective limits (LB, LF, etc.) (46A13) Group structures and generalizations on infinite-dimensional manifolds (58B25) Differentiability questions for infinite-dimensional manifolds (58B10) Vector distributions (subbundles of the tangent bundles) (58A30) Infinite-dimensional manifolds (46T05)

Related Items

Prolongations of convenient Lie algebroids, Projective and Direct limits of Banach $G$ and tensor structures, Projective limits of local shift morphism

Cites Work

• Almost Lie structures on an anchored Banach bundle
• Nonholonomic Lagrangian systems on Lie algebroids
• Les variétés de Poisson et leurs algèbres de Lie associees
• On differential structure for projective limits of manifolds
• Projective limits of Banach-Lie groups
• Lie algebroids and classification problems in geometry
• Differential and geometric structure for the tangent bundle of a projective limit manifold
• Banach Lie Algebroids
• Involutive distributions of operator-valued evolutionary vector fields and their affine geometry. II
• The inverse function theorem of Nash and Moser
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