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Prolongations of linear connections to the frame bundle

Published online by Cambridge University Press:  17 April 2009

Luis A. Cordero  and
Manuel de Leon
Luis A. Cordero
Affiliation:
Departamento de Geometria y Topologia, Facultad de Matematicas, Universidad de Santiago de Compostela, Spain.
Manuel de Leon
Affiliation:
Departamento de Geometria y Topologia, Facultad de Matematicas, Universidad de Santiago de Compostela, Spain.
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Abstract

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In this paper we construct the prolongation of a linear connection Γ on a manifold Μ to the bundle space of its frame bundle, and show that such prolongated connection coincides with the so-called complete lift of Γ to .

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 28 , Issue 3 , December 1983 , pp. 367 - 381
Copyright
Copyright © Australian Mathematical Society 1983

References

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