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On some properties of the Lie derivative in the space of linear elements. (Russian) Zbl 0673.53010
Let $$\Omega_{1}^ J$$, $$\Omega_{2}^ K$$ be linear differential- geometric objects of the first genus (quasitensors). In this paper the author proves the formula ${\mathcal D}(\Omega_{1}^ J\Omega_{2}^ K)=\Omega_{2}^ K\quad {\mathcal D}\Omega_{1}^ J+\Omega_{1}^ J\quad {\mathcal D}\Omega_{2}^ K$ for the Lie derivative of the object $$\Omega^{JK}=^{def}\Omega_{1}^ J\Omega_{2}^ K$$. Other properties of the Lie derivative in the space of linear elements are also established.
Reviewer: F.C.Klepp
##### MSC:
 53A55 Differential invariants (local theory), geometric objects
##### Keywords:
quasitensors; Lie derivative
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