Representing Seashells Surface
G. Lucca (2003)
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G. Lucca (2003)
Visual Mathematics
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Mandal, B.N., Ghosh, N.K. (1990)
International Journal of Mathematics and Mathematical Sciences
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Časopis pro pěstování matematiky
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Teruo Nagase, Akiko Shima (2005)
Fundamenta Mathematicae
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Let Γ be a 4-chart with at most two crossings. We show that if the closure of the surface braid obtained from Γ is one 2-sphere, then the sphere is a ribbon surface.
Farran, H.R., Pinto, Maria do Rosario, Robertson, S.A. (1999)
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Brakke, Kenneth A. (1992)
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Balan, Vladimir, Vîlcea, Ştefania-Alina (2005)
Balkan Journal of Geometry and its Applications (BJGA)
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Annales Polonici Mathematici
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Joets, Alain, Ribotta, Roland (1999)
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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.