Geodesic
A nonholonomic surface of a three-dimensional space with projective connection
Itogi Nauki i Tekhniki. Seriya Problemy Geometrii. Trudy Geometricheskogo Seminara, Trudy Geometricheskogo Seminara, Tome 3 (1971), pp. 115-124
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The non-holonornic surface of the three-dimensional projective space (the differential equations of which are (2)) is considered by using the method of G. F. Laptev. The asymptotic curves, the Lie quadrics, the inner projective normales and the Lie cone of non-holonomic surface are obtained. 
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     author = {V. I. Bliznikas},
     title = {A nonholonomic surface of a~three-dimensional space with projective connection},
     journal = {Itogi Nauki i Tekhniki. Seriya Problemy Geometrii. Trudy Geometricheskogo Seminara},
     pages = {115--124},
     year = {1971},
     volume = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTG_1971_3_a4/}
}
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V. I. Bliznikas. A nonholonomic surface of a three-dimensional space with projective connection. Itogi Nauki i Tekhniki. Seriya Problemy Geometrii. Trudy Geometricheskogo Seminara, Trudy Geometricheskogo Seminara, Tome 3 (1971), pp. 115-124. http://geodesic.mathdoc.fr/item/INTG_1971_3_a4/