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

Pradip Kumar

doi:https://doi.org/10.48550/arxiv.1108.2101

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

Pradip Kumar · arXiv (Cornell University) · 2011

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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