Geometric structures on loop and path spaces |
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| Authors: | Vicente Muñoz Francisco Presas |
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| Affiliation: | 1.Departamento de Geometría y Topología, Facultad de Matemáticas,Universidad Complutense de Madrid,Madrid,Spain;2.Instituto de Ciencias Matemáticas CSIC-UAM-UC3M-UCM,Madrid,Spain |
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| Abstract: | The loop space associated to a Riemannian manifold admits a quasisymplectic 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. |
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