In this note, existence of good coverings for section spaces of smooth fibre bundles is shown by resorting to the Riemannian geometry of the L^2-metric, via the construction of strongly convex neighbourhoods, in close analogy with the finite dimensional case.
Good coverings for section spaces of fibre bundles
SPERA, Mauro;
2010-01-01
Abstract
In this note, existence of good coverings for section spaces of smooth fibre bundles is shown by resorting to the Riemannian geometry of the L^2-metric, via the construction of strongly convex neighbourhoods, in close analogy with the finite dimensional case.
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