On differential structure for projective limits of manifolds

DOI10.1016/S0393-0440(98)00030-8zbMath0935.58008arXivmath-ph/9804007OpenAlexW2044237927WikidataQ115338781 ScholiaQ115338781MaRDI QIDQ1299123

Alessandro Manià, Maria Cristina Abbati

Publication date: 23 August 1999

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/9804007

zbMATH Keywords

\({\mathcal C}^\infty\) calculuscylindrical smooth functionsprojective limits of manifolds

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Manifolds of mappings (58D15)

Related Items

Complete lift of vector fields and sprays to T^∞M ⋮ Infinite-dimensional second order ordinary differential equations via \(T^{2}M\) ⋮ Prolongations of convenient Lie algebroids ⋮ Universal connections in Fréchet principal bundles ⋮ Strong projective limit of Banach Lie algebroids ⋮ Properties of field functionals and characterization of local functionals ⋮ The profinite dimensional manifold structure of formal solution spaces of formally integrable PDEs ⋮ Differential and geometric structure for the tangent bundle of a projective limit manifold ⋮ Projective and Direct limits of Banach $G$ and tensor structures ⋮ Bundles of acceleration on Banach manifolds ⋮ An integrability criterion for a projective limit of Banach distributions ⋮ A generalized second-order frame bundle for Fréchet manifolds ⋮ Projective limits of local shift morphism

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