Banach Lie algebroids

Details Banach Lie algebroids Banach Lie algebroids

2010-03-05

arxiv.org/abs/1003.1263v1

Mathematics

Differential Geometry

8 pages, no figures

Scientific paper

First, we extend the notion of second order differential equations (SODE) on
a smooth manifold to anchored Banach vector bundles. Then we define the Banach
Lie algebroids as Lie algebroids structures modeled on anchored Banach vector
bundles and prove that they form a category.

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