Projective limits of Banach-Lie groups

DOI10.1007/BF02109787zbMath0866.58009OpenAlexW2071223807WikidataQ115392746 ScholiaQ115392746MaRDI QIDQ1925021

George N. Galanis

Publication date: 27 October 1996

Published in: Periodica Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02109787

zbMATH Keywords

exponential mapsBanach-Lie groupsFréchet-Lie groups

Mathematics Subject Classification ID

Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Group structures and generalizations on infinite-dimensional manifolds (58B25)

Related Items

Unnamed Item, Universal connections in Fréchet principal bundles, Fréchet geometry via projective limits, Projective limit of a sequence of compatible weak symplectic forms on a sequence of Banach bundles and Darboux theorem, Local connection forms revisited, Strong projective limit of Banach Lie algebroids, Isomorphism classes for higher order tangent bundles, Second order tangent bundles of infinite dimensional manifolds, Differential and geometric structure for the tangent bundle of a projective limit manifold, Projective and Direct limits of Banach $G$ and tensor structures, Towards a Lie theory of locally convex groups, An integrability criterion for a projective limit of Banach distributions, Projective limits of local shift morphism

Cites Work

• Infinite dimensional Lie transformation groups
• Transformations of linear connections. II
• On a differential structure for the group of diffeomorphisms
• Some Frobenius theorems in global analysis
• A De Rham Theorem for Generalised Manifolds
• The inverse function theorem of Nash and Moser
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