K. M. Budanov, A. Ya. Sultanov, “Infinitesimal affine transformations of a Weil bundle of the second order with the complete lift connection”, Izv. Vyssh. Uchebn. Zaved. Mat., 2015, Number 12,Pages <nobr>3

This article is cited in 7 papers

Infinitesimal affine transformations of a Weil bundle of the second order with the complete lift connection

K. M. Budanov^a, A. Ya. Sultanov^b

^a Chair of Information-Calculating Systems, Penza State University, 40 Krasnaya str., Penza, 440026 Russia
^b Chair of Algebra and Teaching Principles of Mathematics and of Information Science, Penza State University, 37 Lermontov str., Penza, 440602 Russia

Abstract: 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, infinitesimal affine transformation.

UDC: 514.76

Received: 06.05.2014