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- W1543716614 abstract "The second order tangent bundle T^2M of asmooth manifold M consists of the equivalence classes of curves on M that agree up to their acceleration. Dodson and Radivoiovici showed that in the case of a finite n-dimensional manifold M, T^2M becomes a vector bundle overM if and only if M is endowed with a linear connection.We have extended this result to M modeled on an arbitraryBanach space and more generally to those Frechet manifoldswhich can be obtained as projective limits of Banach manifolds. Various structural properties have been deduced." @default.
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- W1543716614 date "2006-06-29" @default.
- W1543716614 modified "2023-09-27" @default.
- W1543716614 title "Acceleration bundles on Banach and Fr echet manifolds" @default.
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