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The Lie derivative in vector and tensor bundles. (Russian) Zbl 0557.53013
As a continuation of the previous paper [Tr. Geom. Semin. 13, 90–101 (1981; Zbl 0497.58002)], the author improves a formula giving the Lie derivative of a geometric object field on the total space of a vector bundle. Among other applications, the results of B. L. Laptev [Tr. Semin. Vektorn. Tenzorn. Anal. 10, 227–248 (1956; Zbl 0074.16603)] regarding the Lie derivative on Finsler space are recovered.
Reviewer: M.Anastasiei

53B40 Local differential geometry of Finsler spaces and generalizations (areal metrics)
53A55 Differential invariants (local theory), geometric objects
58A05 Differentiable manifolds, foundations
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