This article is cited in 2 papers

The flattening infinitesimal transformations generated by the infinitesimal concircular transformations

K. M. Zubrilin

Chair of Higher Mathematics and Physics, Kerch State Maritime Technological University, 19 Sovetskaya str., Feodosiya, Crimea, 298176 Russia

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 concerning of the horizontal lift connection.

Keywords: flattening, order of flattening, $p$-geodesic curve, flattening curve, $p$-geodesic map, flattening map, $p$-geodesic infinitesimal transformation.

UDC: 514.764

Received: 24.04.2014

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2015, 59:12, 21–35

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