Geodesic
Non-Holonomik Hyperplane in the Four-Dimensional Euclidean Space
Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 3 (2008), pp. 10-21

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We consider a non-holonomic distribution of a particular form, the socalled non-holonomic hiperplane, and the vector field of its normal vectors $E_4$. There exists only one non-holonomic plane in $E_4$. It has no singular points. The equation of the non-holonomic hiperplane is obtained in a stationary coordinate system. We also study holonomic distributions that are invariantly connected with the non-holonomic hiperplane.
Keywords: nonholonomic geometry, vector field. 
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     author = {N. M. Onishchuk},
     title = {Non-Holonomik {Hyperplane} in the {Four-Dimensional} {Euclidean} {Space}},
     journal = {Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika},
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N. M. Onishchuk. Non-Holonomik Hyperplane in the Four-Dimensional Euclidean Space. Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 3 (2008), pp. 10-21. http://geodesic.mathdoc.fr/item/VTGU_2008_3_a1/