Integrability on Direct Limit Banach manifolds

Abstract

This paper is devoted to the framework of direct limit of anchored Banach bundles over a convenient manifold which is a direct limit of Banach manifold. 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.

References in corpus (3)

• Linear almost Poisson structures and Hamilton-Jacobi equation. Applications to nonholonomic Mechanics
• Differential calculus on a Lie algebroid and Poisson manifolds
• Controllability on infinite-dimensional manifolds

Cited by in corpus (1)

• Convenient Partial Poisson Manifolds