Path space as manifold, manifold of maps, infinite dimensional manifold

Details Path space as manifold, manifold of maps, infinite dimensional manifold Path space as manifold, manifold of maps, infinite dimensional manifold

2011-08-10

arxiv.org/abs/1108.2101v1

Mathematics

Differential Geometry

8 pages, 1 figure

Scientific paper

Let $M$ be any $n$ dimensional smooth manifold and $PM$ be the space of all
smooth paths, then we showed that $PM$ is a smooth manifold modelled over a
complete normable space. We discussed many geometric structure on Path spaces
and its relation to ambient space.

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