Differential and geometric structure for the tangent bundle of a projective limit manifold

zbMath1121.58007MaRDI QIDQ2504932

George N. Galanis

Publication date: 28 September 2006

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/108636

Mathematics Subject Classification ID

Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Connections (general theory) (53C05)

Related Items

Geometry of bounded Fréchet manifolds, Infinite-dimensional second order ordinary differential equations via \(T^{2}M\), Prolongations of convenient Lie algebroids, Projective limit of a sequence of compatible weak symplectic forms on a sequence of Banach bundles and Darboux theorem, Strong projective limit of Banach Lie algebroids, Projective and Direct limits of Banach $G$ and tensor structures, A generalized second-order frame bundle for Fréchet manifolds, Unnamed Item

Cites Work

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• On a differential structure for the group of diffeomorphisms
• Connections on tangent bundles
• A De Rham Theorem for Generalised Manifolds
• The inverse function theorem of Nash and Moser