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2005.36: A generalized second order frame bundle for Fréchet manifolds

2005.36: CTJ Dodson, GN Galanis and E Vassiliou (2005) A generalized second order frame bundle for Fréchet manifolds. J. Geometry Physics, 55 (3). pp. 291-305. ISSN 0393-0440

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Abstract

Working within the framework of Fréchet modelled infinite dimensional manifolds, we propose a generalized notion of second order frame bundle. We revise in this way the classical notion of bundles of linear frames of order two, the direct definition and study of which is problematic due to intrinsic difficulties of the space models. However, this new structure keeps all the fundamental characteristics of a frame bundle: It is a principal Frechet bundle associated (differentially and geometrically) with the corresponding second order tangent bundle.

Item Type:Article
Uncontrolled Keywords:Frechet manifold, connection, frame bundle, second order frame bundle,infinite dimensional, principal Frechet bundle
Subjects:MSC 2000 > 53 Differential geometry
MSC 2000 > 58 Global analysis, analysis on manifolds
MIMS number:2005.36
Deposited By:Prof CTJ Dodson
Deposited On:12 December 2005

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