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arXiv · 0801.3545

Geometric structures on loop and path spaces

Vicente Munoz·Francisco Presas
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Abstract

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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Vicente Munoz, Francisco Presas. 2010-09-15. Geometric structures on loop and path spaces. https://arxiv.org/abs/0801.3545

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