Affine surfaces with planar affine normals in 3-dimensional Minkowski space .
Manhart, Friedrich (2006)
Mathematica Pannonica
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Manhart, Friedrich (2006)
Mathematica Pannonica
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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.
Kılıç, Erol, Karadaǧ, H.Bayram (2006)
Balkan Journal of Geometry and its Applications (BJGA)
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M. Magid, C. Scharlach, L. Vrancken (1995)
Manuscripta mathematica
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Luc Vrancken (1996)
Monatshefte für Mathematik
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Mohamed Belkhelfa, Franki Dillen, Jun-ichi Inoguchi (2002)
Banach Center Publications
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We give a complete classification of surfaces with parallel second fundamental form in 3-dimensional Bianchi-Cartan-Vranceanu spaces.
F. Milán, A. Martínez (1991)
Mathematische Zeitschrift
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Masayoshi Miyanishi (1982/83)
Inventiones mathematicae
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J.E. Taylor (1991)
Discrete & computational geometry
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Alois Švec (1990)
Czechoslovak Mathematical Journal
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Georgi Ganchev, Vesselka Mihova (2013)
Open Mathematics
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On any space-like Weingarten surface in the three-dimensional Minkowski space we introduce locally natural principal parameters and prove that such a surface is determined uniquely up to motion by a special invariant function, which satisfies a natural non-linear partial differential equation. This result can be interpreted as a solution to the Lund-Regge reduction problem for space-like Weingarten surfaces in Minkowski space. We apply this theory to linear fractional space-like Weingarten...