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2006.8: Conjugate connections and differential equations on infinite dimensional manifolds

2006.8: M. Aghasi, C.T.J. Dodson, G.N. Galanis and A. Suri (2006) Conjugate connections and differential equations on infinite dimensional manifolds.

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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 2000 > 53 Differential geometry
MSC 2000 > 58 Global analysis, analysis on manifolds
MIMS number:2006.8
Deposited By:Prof CTJ Dodson
Deposited On:23 January 2006

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