2006.136: Acceleration bundles on Banach and Fréchet manifolds
2006.136: CTJ Dodson and GA Galanis (2006) Acceleration bundles on Banach and Fréchet manifolds. In: JGP Editorial Board Scientific Meeting In Commemoration of Andre Lichnerowicz, 27- 29 June 2006, International School for Advanced Studies, Trieste, Italy.
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The second order tangent bundle T^2M of a smooth 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 over M if and only if M is endowed with a linear connection.
We have extended this result to M modeled on an arbitrary Banach space and more generally to those Fréchet manifolds which can be obtained as projective limits of Banach manifolds. Various structural properties have been deduced.
|Item Type:||Conference or Workshop Item (Paper)|
The pdf file is a slideshow of 34 slides.
|Uncontrolled Keywords:||Banach manifold, Frechet manifold, connection, second order tangent bundle|
|Subjects:||MSC 2000 > 53 Differential geometry|
MSC 2000 > 58 Global analysis, analysis on manifolds
|Deposited By:||Prof CTJ Dodson|
|Deposited On:||23 June 2006|