Lifting of Homogeneous Vector Fields

We prove that a family of δλ-homogeneous vector fields X1, . . . , Xn of an arbitrary degree can be lifted to the space of larger dimension in such a way that the lifted vector fields \( {\tilde{X}}_1,\dots, {\tilde{X}}_n \) are δλ-homogeneous of the same degree.

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Correspondence to A. A. Rastrepaev.

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Translated from Sibirskii Zhurnal Chistoi i Prikladnoi Matematiki 18, No. 4, 2018, pp. 81-87.

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Rastrepaev, A.A. Lifting of Homogeneous Vector Fields. J Math Sci 253, 448–454 (2021).

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