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math.DG2005
Natural connections on the bundle of Riemannian metrics
Roberto Ferreiro Perez, Jaime Muñoz Masque
Let be the bundles of linear frames and Riemannian metrics of a manifold , respectively. The existence of a unique -invariant connection form…
math.DG2005
Pontryagin forms on -manifolds and symplectic structures on the spaces of Riemannian metrics
Roberto Ferreiro Perez, Jaime Muñoz Masque
The Pontryagin forms on 1-jet bundle of Riemannian metrics, are shown to provide, in a natural way, diffeomorphism-invariant pre-symplectic structures on the space of Riemannian me…