Geodesic
The flattening infinitesimal transformations generated by the infinitesimal concircular transformations
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 12 (2015), pp. 27-42

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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. 
@article{IVM_2015_12_a2,
     author = {K. M. Zubrilin},
     title = {The flattening infinitesimal transformations generated by the infinitesimal concircular transformations},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {27--42},
     publisher = {mathdoc},
     number = {12},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2015_12_a2/}
}
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K. M. Zubrilin. The flattening infinitesimal transformations generated by the infinitesimal concircular transformations. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 12 (2015), pp. 27-42. http://geodesic.mathdoc.fr/item/IVM_2015_12_a2/