Geometric structures on loop and path spaces

Details Geometric structures on loop and path spaces Geometric structures on loop and path spaces

2008-01-23

arxiv.org/abs/0801.3545v2

Mathematics

Symplectic Geometry

Final version. To appear in Proceedings of Math. Sci. Indian Academy of Sciences

Scientific paper

Is is known that the loop space associated to a Riemannian manifold admits a quasi-symplectic structure. This article shows that this structure is not likely to recover the underlying Riemannian metric by proving a result that is a strong indication of the "almost" independence of the quasi-symplectic structure with respect to the metric. Finally conditions to have contact structures on these spaces are studied.

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