Classification of surfaces in which are centroaffine-minimal and equiaffine-minimal.
Liu, Huili (1996)
Bulletin of the Belgian Mathematical Society - Simon Stevin
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Liu, Huili (1996)
Bulletin of the Belgian Mathematical Society - Simon Stevin
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Röschel, Otto (2009)
Beiträge zur Algebra und Geometrie
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Manhart, Friedrich (2006)
Mathematica Pannonica
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Marian Munteanu, Ana Nistor (2011)
Open Mathematics
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In the present paper we classify all surfaces in 3 with a canonical principal direction. Examples of this type of surfaces are constructed. We prove that the only minimal surface with a canonical principal direction in the Euclidean space 3 is the catenoid.
T. D. Browning (2003)
Acta Arithmetica
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Ronald van Luijk (2011)
Acta Arithmetica
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Andrew Bremner (1988)
Manuscripta mathematica
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Zeuthen (1875)
Mathematische Annalen
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Alois Švec (1987)
Czechoslovak Mathematical Journal
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Masayoshi Miyanishi (1982/83)
Inventiones mathematicae
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Changping Wang (1993)
Mathematische Zeitschrift
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Daniel F. Coray (1976)
Compositio Mathematica
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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.