Integrability on Direct Limits of Banach Manifolds
Copyright policy )Integrability on Direct Limits of Banach Manifolds
In this paper, we study several objects in the framework of direct limits of anchored Banach bundles over particular convenient manifolds (direct limits of Banach manifolds). In particular, we give a criterion of integrability for distributions on such convenient manifolds which are locally direct limits of particular sequences of Banach anchor ranges.
- Université Savoie Mont Blanc France
- Laboratoire de Mathématiques France
Infinite-dimensional manifolds, Lie algebras of vector fields and related (super) algebras, Limits and colimits (products, sums, directed limits, pushouts, fiber products, equalizers, kernels, ends and coends, etc.), Infinite-dimensional Lie groups and their Lie algebras: general properties, anchor range, integrable distribution, convenient structures, Koszul connection, almost Lie Banach algebroid, Vector distributions (subbundles of the tangent bundles), direct limit, Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures, [MATH]Mathematics [math], almost Lie bracket
Infinite-dimensional manifolds, Lie algebras of vector fields and related (super) algebras, Limits and colimits (products, sums, directed limits, pushouts, fiber products, equalizers, kernels, ends and coends, etc.), Infinite-dimensional Lie groups and their Lie algebras: general properties, anchor range, integrable distribution, convenient structures, Koszul connection, almost Lie Banach algebroid, Vector distributions (subbundles of the tangent bundles), direct limit, Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures, [MATH]Mathematics [math], almost Lie bracket
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