A method for generating compound spring element curves in contact with cylindrical surfaces.
Keil, Mitchel J., Rodriguez, Jorge (1999)
Journal for Geometry and Graphics
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Keil, Mitchel J., Rodriguez, Jorge (1999)
Journal for Geometry and Graphics
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Tomasz Lenarcik (2011)
Annales Polonici Mathematici
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We propose a combinatorial method of proving non-specialty of a linear system of curves with multiple points in general position. As an application, we obtain a classification of special linear systems on ℙ¹×ℙ¹ with multiplicities not exceeding 3.
Benz, Walter (2000)
Beiträge zur Algebra und Geometrie
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Koch, Richard, Engelhardt, Christoph (1998)
Journal for Geometry and Graphics
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Hubert Gollek (2005)
Banach Center Publications
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We study curves in Sl(2,ℂ) whose tangent vectors have vanishing length with respect to the biinvariant conformal metric induced by the Killing form, so-called null curves. We establish differential invariants of them that resemble infinitesimal arc length, curvature and torsion of ordinary curves in Euclidean 3-space. We discuss various differential-algebraic representation formulas for null curves. One of them, a modification of the Bianchi-Small formula, gives an Sl(2,ℂ)-equivariant...
Kilian, Martin, McIntosh, Ian, Schmitt, Nicholas (2000)
Experimental Mathematics
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Johan Gielis, Stefan Haesen, Leopold Verstraelen (2005)
Kragujevac Journal of Mathematics
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Tölke, Jürgen (1997)
Beiträge zur Algebra und Geometrie
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Luigi Ambrosio, Jérôme Bertrand (2016)
Analysis and Geometry in Metric Spaces
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In this note, we prove that on a surface with Alexandrov’s curvature bounded below, the distance derives from a Riemannian metric whose components, for any p ∈ [1, 2), locally belong to W1,p out of a discrete singular set. This result is based on Reshetnyak’s work on the more general class of surfaces with bounded integral curvature.
B. B. Epps (1973)
Colloquium Mathematicae
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Katsuei Kenmotsu (1979)
Mathematische Annalen
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Allen Tannenbaum (1982)
Mathematische Annalen
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R. Pignoni (1988)
Banach Center Publications
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Charles H. Walter (1990)
Journal für die reine und angewandte Mathematik
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N.H. Kuiper, W. III Meeks (1984)
Inventiones mathematicae
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