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The flattened infinitesimal transformations generated by the infinitesimal concircular transformations

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Abstract

In this work we study the flattening properties of the complete lift of infinitesimal concircular transformation. The tangent bundle is considered as the affinely connected space with the horizontal lift connection. We introduce the concept of the E-lift for a tensor field of arbitrary type which is necessary in the covariant differentiation with respect to the horizontal lift connection.

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Authors and Affiliations

  1. Kerch State Maritime Technological University, ul. Sovetskaya 19, Feodosiya, Crimea, 298176, Russia

    K. M. Zubrilin

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  1. K. M. Zubrilin
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Correspondence to K. M. Zubrilin.

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Original Russian Text © K.M. Zubrilin, 2015, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2015, No. 12, pp. 27–42.

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Zubrilin, K.M. The flattened infinitesimal transformations generated by the infinitesimal concircular transformations. Russ Math. 59, 21–35 (2015). https://doi.org/10.3103/S1066369X15120038

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  • DOI: https://doi.org/10.3103/S1066369X15120038

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