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: http://eprints.maths.manchester.ac.uk/id/eprint/146

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