Affine Cylinders
Matematičeskie zametki, Tome 96 (2014) no. 5, pp. 697-700

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An affine cylinder is defined as a surface for which all affine normals are parallel to the same plane. It is proved that a complete strictly convex affine cylinder is a translation surface whose line of translation is a parabola.
Keywords: affine cylinder, complete strictly convex affine cylinder, translation surface
Mots-clés : affine normal, Hessian matrix.
@article{MZM_2014_96_5_a5,
     author = {V. N. Kokarev},
     title = {Affine {Cylinders}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {697--700},
     publisher = {mathdoc},
     volume = {96},
     number = {5},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2014_96_5_a5/}
}
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V. N. Kokarev. Affine Cylinders. Matematičeskie zametki, Tome 96 (2014) no. 5, pp. 697-700. http://geodesic.mathdoc.fr/item/MZM_2014_96_5_a5/