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

2011/08/10 by Pradip Kumar, Kumar, Pradip
Mathematics · #58B99 #58D15 #Differential Geometry (math.DG) #FOS: Mathematics #math.DG #msc:58B99 #msc:58D15

paper · pdf · doi:10.48550/arxiv.1108.2101

8 pages, 1 figure

arxiv created 2011/08/10 · arxiv updated 2011/08/11

Abstract

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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