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JOURNALS // University proceedings. Volga region. Physical and mathematical sciences // Archive

University proceedings. Volga region. Physical and mathematical sciences, 2009 Issue 2, Pages 39–59 (Mi ivpnz683)

This article is cited in 1 paper

Mathematics

Some applications of Galilean methods

A. I. Dolgarev, I. A. Dolgarev

Penza State University, Penza

Abstract: Methods of Galilean geometry will allow us to find solutions of some systems of differential equations. Defined Galilean curvature of Euclidean curves and Galilean quadratic forms of Euclidean surface. They just found Euclidean curves and surfaces. By connectedness found Galilean metric functions of the Euclidean and the surface. For 2-dimensional field, the accelerated motion of a trajectory of motion of point 2 and 3 degrees of freedom.

Keywords: Galilean curvature Euclidean curves, Galilean quadratic forms Euclidean surface, Galilean metric function is the Euclidean surface, Galilean connectivity, trajectory points with 2 and 3 degrees of freedom.

UDC: 514.126



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