Representing Seashells Surface
G. Lucca (2003)
Visual Mathematics
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G. Lucca (2003)
Visual Mathematics
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Joets, Alain, Ribotta, Roland (1999)
Experimental Mathematics
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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.
Balan, Vladimir, Vîlcea, Ştefania-Alina (2005)
Balkan Journal of Geometry and its Applications (BJGA)
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Brakke, Kenneth A. (1992)
Experimental Mathematics
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G. Lucca (2004)
Visual Mathematics
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Chris Peters (1995)
Cours de l'institut Fourier
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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.
Allan L. Edmonds (2008)
Fundamenta Mathematicae
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Those maps of a closed surface to the three-dimensional torus that are homotopic to embeddings are characterized. Particular attention is paid to the more involved case when the surface is nonorientable.
O. Karwowski (1964)
Annales Polonici Mathematici
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Udo Simon, Konrad Voss, Luc Vrancken, Martin Wiehe (2002)
Banach Center Publications
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We investigate pairs of surfaces in Euclidean 3-space with the same Weingarten operator in case that one surface is given as surface of revolution. Our local and global results complement global results on ovaloids of revolution from S-V-W-W.
Mandal, B.N., Ghosh, N.K. (1990)
International Journal of Mathematics and Mathematical Sciences
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Mandal, B.N., Banerjea, S. (1992)
International Journal of Mathematics and Mathematical Sciences
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André de Carvalho, Toby Hall (2001)
Journal of the European Mathematical Society
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Two dynamical deformation theories are presented – one for surface homeomorphisms, called pruning, and another for graph endomorphisms, called kneading – both giving conditions under which all of the dynamics in an open set can be destroyed, while leaving the dynamics unchanged elsewhere. The theories are related to each other and to Thurston’s classification of surface homeomorphisms up to isotopy.
Kobayashi, Shimpei (2004)
Balkan Journal of Geometry and its Applications (BJGA)
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Martin Bright (2011)
Acta Arithmetica
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Peter Turbek (1997)
Revista Matemática de la Universidad Complutense de Madrid
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The full automorphism group of the Kulkarni surface is explicitly determined. It is employed to give three defining equations of the Kulkarni surface; each equation exhibits a symmetry of the surface as complex conjugation.