Aghasi, M. and Dodson, C.T.J. and Galanis, G.N. and Suri, A. (2006) Conjugate connections and differential equations on infinite dimensional manifolds. [MIMS Preprint]
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Abstract
On a smooth manifold M, the vector bundle structures of the second order tangent bundle, T^2M, bijectively correspond to linear connections. In this paper we classify such structures for those Frechet manifolds which can be considered as projective limits of Banach manifolds. We investigate also the relation between ordinary differential equations on Frechet spaces and the linear connections on their trivial bundle. Such equations arise in theoretical physics.
| Item Type: | MIMS Preprint |
|---|---|
| Uncontrolled Keywords: | Banach manifold, Frechet manifold, connection, conjugate, ordinary differential equation |
| Subjects: | MSC 2010, the AMS's Mathematics Subject Classification > 53 Differential geometry MSC 2010, the AMS's Mathematics Subject Classification > 58 Global analysis, analysis on manifolds |
| Depositing User: | Prof CTJ Dodson |
| Date Deposited: | 23 Jan 2006 |
| Last Modified: | 20 Oct 2017 14:12 |
| URI: | https://eprints.maths.manchester.ac.uk/id/eprint/146 |
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- Conjugate connections and differential equations on infinite dimensional manifolds. (deposited 23 Jan 2006) [Currently Displayed]
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