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Matematicheskie Zametki, 2014, Volume 96, Issue 5, Pages 697–700
DOI: https://doi.org/10.4213/mzm10238 (Mi mzm10238) 		 
Affine Cylinders

V. N. Kokarev

Samara State University
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DOI: https://doi.org/10.4213/mzm10238
Abstract: 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, affine normal, Hessian matrix.
Received: 29.12.2012
Revised: 28.05.2013
English version:
Mathematical Notes, 2014, Volume 96, Issue 5, Pages 686–689
DOI: https://doi.org/10.1134/S0001434614110078
Bibliographic databases:
Document Type: Article
UDC: 514.754.4
Language: Russian
Citation: V. N. Kokarev, “Affine Cylinders”, Mat. Zametki, 96:5 (2014), 697–700; Math. Notes, 96:5 (2014), 686–689
Citation in format AMSBIB
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