RT Journal Article T1 Geometric structures on loop and path spaces. A1 Muñoz, Vicente A1 Presas, Francisco AB The 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. PB Indian acad sciences SN 0253-4142 YR 2010 FD 2010 LK https://hdl.handle.net/20.500.14352/42385 UL https://hdl.handle.net/20.500.14352/42385 LA eng NO Atiyah M F, Circular symmetry and stationary phase approximation, in: Colloque en honneur de Laurent Schwartz, Vol. 1, Asterisque 131 (1984) 43–59Guest M A and Pressley A N, Holomorphic curves in loop groups, Commun. Math.Phys. 118 (1988) 511–527Pressley A and Segal G, Loop groups, Oxford Mathematical Monographs, Oxford Science Publications (New York: The Clarendon Press, Oxford University Press)(1986)Segal G, Elliptic cohomology, in: Seminaire Bourbaki 40 (1987–88), no. 695,Asterisque 161–162 (1988) 187–201Wurzbacher T, Symplectic geometry of the loop space of a symplectic manifold,J. Geom. Phys. 16 (1995) 345–384 NO MEC DS Docta Complutense RD 30 abr 2024