Geometric structures on loop and path spaces.

Muñoz, VicentePresas , Francisco2023-06-202023-06-2020100253-414210.1007/s12044-010-0036-xhttps://hdl.handle.net/20.500.14352/42385The loop Space associated to a Riemannian manifold admits a quasi-symplectic structure (that is, a closed 2-form which is non-degenerate up to a finite-dimensional kernel). We show how to construct a compatible almost-complex structure. Finally conditions to have contact structures on loop spaces are studied.engGeometric structures on loop and path spaces.journal articlehttp://www.springerlink.com/content/734p0x57268805n1/fulltext.pdfhttp://www.springerlink.comrestricted access5145151.1Loop spaceSymplectic structuresContact structures.GeometríaTopología1204 Geometría1210 Topología