2005.47: Isomorphism classes for Banach vector bundle structures of second tangents
2005.47: CTJ Dodson, GN Galanis and E Vassiliou (2006) Isomorphism classes for Banach vector bundle structures of second tangents.
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Abstract
On a smooth Banach manifold M, the equivalence classes of curves that agree up to acceleration form the second order tangent bundle T^2M of M. This is a vector bundle in the presence of a linear connection on M and the corresponding local structure is heavily dependent on the choice of connection. In this paper we study the extent of this dependence and we prove that it is closely related to the notions of conjugate connections and second order differentials. In particular, the vector bundle structure on T^2M remains invariant under conjugate connections with respect to diffeomorphisms of M.
| Item Type: | MIMS Preprint |
|---|---|
| Uncontrolled Keywords: | Banach manifold, connection, second tangent bundle, isomorphism class, conjugacy |
| Subjects: | MSC 2000 > 58 Global analysis, analysis on manifolds |
| MIMS number: | 2005.47 |
| Deposited By: | Prof CTJ Dodson |
| Deposited On: | 23 January 2006 |
Available Versions of this Item
- Isomorphism classes for Banach vector bundle structures of second tangents (deposited 04 June 2007)
- Isomorphism classes for Banach vector bundle structures of second tangents (deposited 16 December 2005)
- Isomorphism classes for Banach vector bundle structures of second tangents (deposited 23 January 2006) [Currently Displayed]
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