Geodesic
Nonholonomic torses of the first kind in the four-dimensional Euclidean space
Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 3 (2011), pp. 32-40

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Nonholonomic three-dimensional distributions with zero total curvature of the first kind are considered in $E_4$. There exist three types of such distributions depending on the values of the principal curvatures of the first kind. Geometry of each of them is studied.
Keywords: nonholonomic geometry, vector field.
Mots-clés : distribution, Pfaffian equation 
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     author = {N. M. Onishchuk and O. V. Tsokolova},
     title = {Nonholonomic torses of the first kind in the four-dimensional {Euclidean} space},
     journal = {Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika},
     pages = {32--40},
     publisher = {mathdoc},
     number = {3},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VTGU_2011_3_a4/}
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N. M. Onishchuk; O. V. Tsokolova. Nonholonomic torses of the first kind in the four-dimensional Euclidean space. Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 3 (2011), pp. 32-40. http://geodesic.mathdoc.fr/item/VTGU_2011_3_a4/