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Vladikavkazskii Matematicheskii Zhurnal, 2010, Volume 12, Number 2, Pages 3–14 (Mi vmj7)  

Galilean plane with commutative and nonlinear geometry

A. I. Dolgarev, I. A. Dolgarev

Penza State University
References:
Abstract: Galilean distance between two points on the plane with nonlinear geometry is introduced. A specified physical interpretation of such a plane is indicated. The curvature of regular curves is defined and it is proved that the curvature function determines uniquely the curve under consideration.
Key words: nonlinear Galilean plane.
Received: 29.08.2008
Document Type: Article
UDC: 514.7
Language: Russian
Citation: A. I. Dolgarev, I. A. Dolgarev, “Galilean plane with commutative and nonlinear geometry”, Vladikavkaz. Mat. Zh., 12:2 (2010), 3–14
Citation in format AMSBIB
\Bibitem{DolDol10}
\by A.~I.~Dolgarev, I.~A.~Dolgarev
\paper Galilean plane with commutative and nonlinear geometry
\jour Vladikavkaz. Mat. Zh.
\yr 2010
\vol 12
\issue 2
\pages 3--14
\mathnet{http://mi.mathnet.ru/vmj7}
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