Integrability of weak distributions on Banach manifolds

Details Integrability of weak distributions on Banach manifolds Integrability of weak distributions on Banach manifolds

2010-12-09

arxiv.org/abs/1012.1950v3

Mathematics

Differential Geometry

Scientific paper

This paper concerns the problem of integrability of non closed distributions on Banach manifolds. We introduce the notion of weak distribution and we look for conditions under which these distributions admit weak integral submanifolds. We give some applications to Banach Lie algebroid and Banach Lie-Poisson manifold. The main results of this paper generalize the works presented in [ChSt], [Nu] and [Gl].

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