Special categories of rectilinear congruences
B. Papantoniou, Gr. Tsagas (1985)
Matematički Vesnik
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B. Papantoniou, Gr. Tsagas (1985)
Matematički Vesnik
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Gorjanc, Sonja (1997)
Journal for Geometry and Graphics
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Jindřich Veverka (1969)
Czechoslovak Mathematical Journal
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Bernard Rouxel (2010)
Kragujevac Journal of Mathematics
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Froim Marcus (1980)
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...
Kılıç, Erol, Karadaǧ, H.Bayram (2006)
Balkan Journal of Geometry and its Applications (BJGA)
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Emilio Musso, Lorenzo Nicolodi (2002)
Banach Center Publications
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We present a Möbius invariant construction of the Darboux transformation for isothermic surfaces by the method of moving frames and use it to give a complete classification of the Darboux transforms of Dupin surfaces.
Alexander Degtyarev, Vlatcheslav Kharlamov (1997)
Revista Matemática de la Universidad Complutense de Madrid
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We present a brief overview of the classification of real Enriques surfaces completed recently and make an attempt to systemize the known classification results for other special types of surfaces. Emphasis is also given to the particular tools used and to the general phenomena discovered; in particular, we prove two new congruence type prohibitions on the Euler characteristic of the real part of a real algebraic surface.