A new proof of a theorem of Belov.
Velimirović, Ljubica S. (1998)
Publications de l'Institut Mathématique. Nouvelle Série
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Velimirović, Ljubica S. (1998)
Publications de l'Institut Mathématique. Nouvelle Série
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Orbay, Keziban, Kasap, Emin, Aydemir, İsmail (2009)
Mathematical Problems in Engineering
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Ekici, Cumali, Ünlütürk, Yasin, Dede, Mustafa, Ryuh, B.S. (2008)
Mathematical Problems in Engineering
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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.
Alois Švec (1973)
Czechoslovak Mathematical Journal
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Alois Švec (1977)
Czechoslovak Mathematical Journal
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Oezok, Afet K. (1981)
International Journal of Mathematics and Mathematical Sciences
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Eugenio Aulisa, Magdalena Toda, Zeynep Kose (2013)
Open Mathematics
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Isothermic parameterizations are synonyms of isothermal curvature line parameterizations, for surfaces immersed in Euclidean spaces. We provide a method of constructing isothermic coordinate charts on surfaces which admit them, starting from an arbitrary chart. One of the primary applications of this work consists of numerical algorithms for surface visualization.
M. P. Dussan, M. Magid (2010)
Annales Polonici Mathematici
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We characterize the Christoffel pairs of timelike isothermic surfaces in the four-dimensional split-quaternions. When restricting the receiving space to the three-dimensional imaginary split-quaternions, we establish an equivalent condition for a timelike surface in ℝ³₂ to be real or complex isothermic in terms of the existence of integrating factors.