Geodesic
Infinitesimal affine transformations of a~Weil bundle of the second order with the complete lift connection
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 12 (2015), pp. 3-13

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We obtain the canonical expansion of an arbitrary infinitesimal affine transformation of a Weil bundle of the second order over a differentiable manifold with the complete lift connection. We establish necessary and sufficient conditions under which a vector field is an infinitesimal affine transformation.
Keywords: Weil bundle of the second order, linear connection, complete lift of linear connection
Mots-clés : infinitesimal affine transformation. 
@article{IVM_2015_12_a0,
     author = {K. M. Budanov and A. Ya. Sultanov},
     title = {Infinitesimal affine transformations of {a~Weil} bundle of the second order with the complete lift connection},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {3--13},
     publisher = {mathdoc},
     number = {12},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2015_12_a0/}
}
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K. M. Budanov; A. Ya. Sultanov. Infinitesimal affine transformations of a~Weil bundle of the second order with the complete lift connection. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 12 (2015), pp. 3-13. http://geodesic.mathdoc.fr/item/IVM_2015_12_a0/