Integrability of weak distributions on Banach manifolds
Copyright policy )Integrability of weak distributions on Banach manifolds
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].
Mathematics - Differential Geometry, Involutive distribution, Invariance, Weak Banach submanifold, Differential Geometry (math.DG), Banach manifold, Banach Poisson manifold, Weak distribution, Lie invariance, FOS: Mathematics, Integrable distribution, Integral manifold, Banach Lie algebroid
Mathematics - Differential Geometry, Involutive distribution, Invariance, Weak Banach submanifold, Differential Geometry (math.DG), Banach manifold, Banach Poisson manifold, Weak distribution, Lie invariance, FOS: Mathematics, Integrable distribution, Integral manifold, Banach Lie algebroid
citations This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).15 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Top 10% influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Top 10% impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Top 10%
Citations provided by BIP!Popularity provided by BIP!