Almost Lie structures on an anchored Banach bundle

Details Almost Lie structures on an anchored Banach bundle Almost Lie structures on an anchored Banach bundle

2011-11-25

arxiv.org/abs/1111.5908v1

Mathematics

Differential Geometry

Scientific paper

Under appropriate assumptions, we generalize the concept of linear almost
Poisson struc- tures, almost Lie algebroids, almost differentials in the
framework of Banach anchored bundles and the relation between these objects. We
then obtain an adapted formalism for mechanical systems which is illustrated by
the evolutionary problem of the "Hilbert snake"

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