Group actions on chains of Banach manifolds and applications to fluid dynamics

Gay-Balmaz, François ; Ratiu, Tudor

In: Annals of Global Analysis and Geometry, 2007, vol. 31, no. 3, p. 287-328

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    Summary
    This paper presents the theory of non-smooth Lie group actions on chains of Banach manifolds. The rigorous functional analytic spaces are given to deal with quotients of such actions. A hydrodynamical example is studied in detail