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The geometrical constructions lifting tensor fields of type (0,2) on manifolds to the bundles of A-velocities

Published online by Cambridge University Press:  22 January 2016

W. M. Mikulski
W. M. Mikulski*
Affiliation:
Institute of Mathematics, Jagellonian University, Kraków Reymonta 4 (Poland)
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Let A be a Weil algebra. The fibre bundle TAM of A-velocities over a manifold M was described by A. Morimoto [15] as another description of the bundle of near A-points by Weil [17]. In [4] for any tensor field τ of type (0,2) on M and any functional λ ∈ A* we have defined the so called λ-lift of τ to TAM. We recall this construction in Example 1.3. The λ-lift of τ is a naturally induced tensor field of type (0,2) on TAM.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 140 , December 1995 , pp. 117 - 137
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1995

References

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