Affine differential geometry of surfaces
Alois Švec (1990)
Czechoslovak Mathematical Journal
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Displaying similar documents to “On affine-maximal ruled surfaces.”
Affine differential geometry of surfaces
Affine umbilical surfaces in R4.
M. Magid, C. Scharlach, L. Vrancken (1995)
Manuscripta mathematica
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Normal affine surfaces properly dominated by C x C.
Mikio Furushima (1989)
Mathematische Annalen
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Some results on projectively flat affine surfaces
Antonio Martínez, Francisco Milán (2005)
Banach Center Publications
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We focus our attention on projectively flat affine surfaces. First, we classify the affine surfaces with projectively flat induced connection and constant Pick invariant. We also investigate the compact case and study how the geometry at the boundary determines the geometry of the surface.
Partial Geometries in Finite Affine Spaces.
Joseph A. Thas (1978)
Mathematische Zeitschrift
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Affine spheres with constant affine sectional cuvature.
Udo Simon, An-Mi Li, Luc Vrancken (1991)
Mathematische Zeitschrift
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Affine isoperimetric problems and surfaces with constant affine mean curvature.
F. Milán, A. Martínez (1992)
Manuscripta mathematica
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Dual Connections and Affine Geometry.
Takashi Kurose (1990)
Mathematische Zeitschrift
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Thomsen Surfaces in Affine 4-Space.
Luc Vrancken (1996)
Monatshefte für Mathematik
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On a Theorem of Chern and Terng on Affine Surfaces.
Katsumi Nomizu, Takeshi Sasaki (1990)
Manuscripta mathematica
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On affine geometric product objects
Józef Joachim Telega (1977)
Annales Polonici Mathematici
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Cauchy problems for discrete affine minimal surfaces
Marcos Craizer, Thomas Lewiner, Ralph Teixeira (2012)
Archivum Mathematicum
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In this paper we discuss planar quadrilateral (PQ) nets as discrete models for convex affine surfaces. As a main result, we prove a necessary and sufficient condition for a PQ net to admit a Lelieuvre co-normal vector field. Particular attention is given to the class of surfaces with discrete harmonic co-normals, which we call discrete affine minimal surfaces, and the subclass of surfaces with co-planar discrete harmonic co-normals, which we call discrete improper affine spheres. Within...