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2011.60: Some recent work in Frechet geometry

2011.60: CTJ Dodson (2012) Some recent work in Frechet geometry. Balkan Journal of Geometry and Its Applications, 17 (2). pp. 6-21. ISSN 1843-2875

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Some recent work in Frechet geometry is briefly reviewed. In particular an earlier result on the structure of second tangent bundles in the finite dimensional case was extended to infinite dimensional Banach manifolds and Frechet manifolds that could be represented as projective limits of Banach manifolds. This led to further results concerning the characterization of second tangent bundles and differential equations in the more general Frechet structure needed for applications. A summary is given of recent results on hypercyclicity of operators on Frechet spaces.

Item Type:Article
Uncontrolled Keywords:Banach manifold; Frechet manifold; projective limit; connection; second tangent bundle, frame bundle, differential equations, hypercyclicity.
Subjects:MSC 2000 > 47 Operator theory
MSC 2000 > 53 Differential geometry
MSC 2000 > 58 Global analysis, analysis on manifolds
MIMS number:2011.60
Deposited By:Prof CTJ Dodson
Deposited On:23 April 2012

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