Projective and Direct limits of Banach $G$ and tensor structures

zbMath1448.58004arXiv1901.09010MaRDI QIDQ5119421

Fernand Pelletier, Patrick Cabau

Publication date: 4 September 2020

Full work available at URL: https://arxiv.org/abs/1901.09010

zbMATH Keywords

direct limitprojective limitDarboux theorem\(G\)-structuretensor structureconvenient structure

Mathematics Subject Classification ID

Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Group structures and generalizations on infinite-dimensional manifolds (58B25) Limits and colimits (products, sums, directed limits, pushouts, fiber products, equalizers, kernels, ends and coends, etc.) (18A30)

Related Items (2)

Prolongations of convenient Lie algebroids ⋮ Projective limit of a sequence of compatible weak symplectic forms on a sequence of Banach bundles and Darboux theorem

Cites Work

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• Integrability of weak distributions on Banach manifolds
• Infinite-dimensional manifolds as ringed spaces
• The automorphism group of a Banach principal bundle with \{1\}-structure
• Hyperkähler structures and infinite-dimensional Grassmannians
• Direct limits of infinite-dimensional Lie groups compared to direct limits in related categories
• Properties of infinite dimensional Hamiltonian systems
• On differential structure for projective limits of manifolds
• Lie groups and Lie algebras III. Structure of Lie groups and Lie algebras. Transl. from the Russian by V. Minachin
• Derivative of the exponential mapping for infinite dimensional Lie groups
• Lagrange geometry on tangent manifolds
• Almost cotangent manifolds
• Existence of invariant manifolds for stochastic equations in infinite dimension
• Projective limits of Banach-Lie groups
• Integrability on direct limits of Banach manifolds
• A Banach space with a countable infinite number of complex structures
• Strong projective limit of Banach Lie algebroids
• Differential and geometric structure for the tangent bundle of a projective limit manifold
• On a differential structure for the group of diffeomorphisms
• Geometry of manifolds of maps
• Symplectic manifolds and their Lagrangian submanifolds
• Sur quelques propriétés des G-structures
• Integrability of analytic almost complex structures on Banach manifolds
• A Symplectic Banach Space with no Lagrangian Subspaces
• Darboux chart on projective limit of weak symplectic Banach manifold
• Countable groups of isometries on Banach spaces
• Affine bundles and integrable almost tangent structures
• The inverse function theorem of Nash and Moser
• Almost Tangent and Cotangent Structures in the Large
• Integrability of singular distributions on Banach manifolds
• On the Darboux theorem for weak symplectic manifolds
• On the $\overline\partial$-equation in a Banach space
• ALMOST COMPLEX STRUCTURE ON PATH SPACE
• Differentiability of a Function and of its Compositions with Functions of One Variable.
• Complex Structures on Real Banach Spaces
• Sur les structures presque complexes et autres structures infinitésimales régulières

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