EMIS ELibM Electronic Journals PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.)
Vol. 43(57), pp. 143--154 (1988)

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Tensor fields and connections on cross-sections in the frame bundle of second order of a parallelizable manifold

Manuel De Leon, Modesto Salgado

CECIME, Consejo Superior de Investigaciones Cientificas, Serrano 123, 28006 Madrid, Spain and Departmento de Geometria y Topologia, Facultad de Matemáticas, Universidad de Santiago de Comostela, Spain

Abstract: Let $V$ be a field of global frames on a parallelizable manifold. Then $V$ defines a cross-section in the frame bundle of second order $F^2M$ of $M$. The behaviour of the lifts of tensor fields and connections on $M$ to $F^2M$ along this cross-section is studied.

Classification (MSC2000): 53C

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Electronic fulltext finalized on: 2 Nov 2001. This page was last modified: 8 Mar 2002.

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