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University proceedings. Volga region. Physical and mathematical sciences, 2009, Issue 1, Pages 69–86 (Mi ivpnz671)  
Mathematics

Surfaces in the commutative nonlinear geometry of 3-dimensional Galilean space-time

I. A. Dolgarev

Penza State University, Penza
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Abstract: For vectors determine not linear and commutative operation and Galilean inner product of vector. Formulas to differentiate vector functions are obtained. Equations straight line and plane to be not linear. Obtained normal, middle and complete curvature surface. Have a examples.
Keywords: not linear and commutative geometry of Galiley, curvature surface.
UDC: 514.7
Language: Russian
Citation: I. A. Dolgarev, “Surfaces in the commutative nonlinear geometry of 3-dimensional Galilean space-time”, University proceedings. Volga region. Physical and mathematical sciences, 2009, no. 1, 69–86
Citation in format AMSBIB
\Bibitem{Dol09}
\by I.~A.~Dolgarev
\paper Surfaces in the commutative nonlinear geometry of 3-dimensional Galilean space-time
\jour University proceedings. Volga region. Physical and mathematical sciences
\yr 2009
\issue 1
\pages 69--86
\mathnet{http://mi.mathnet.ru/ivpnz671}
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