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Vladikavkazskii Matematicheskii Zhurnal, 2010, Volume 12, Number 2, Pages 3–14
(Mi vmj7)
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Galilean plane with commutative and nonlinear geometry
A. I. Dolgarev, I. A. Dolgarev Penza State University
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
Citation:
A. I. Dolgarev, I. A. Dolgarev, “Galilean plane with commutative and nonlinear geometry”, Vladikavkaz. Mat. Zh., 12:2 (2010), 3–14
Linking options:
https://www.mathnet.ru/eng/vmj7 https://www.mathnet.ru/eng/vmj/v12/i2/p3
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