On the affine rectification of convex curves.
Leichtweiss, Kurt (1999)
Beiträge zur Algebra und Geometrie
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Leichtweiss, Kurt (1999)
Beiträge zur Algebra und Geometrie
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Hà Huy Vui, Phạkm Tien Son (1998)
Annales Polonici Mathematici
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We give some criteria for the equisingularity of families of affine plane curves.
Takashi Sano (1999)
Banach Center Publications
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We study affine invariants of plane curves from the view point of the singularity theory of smooth functions. We describe how affine vertices and affine inflexions are created and destroyed.
Joseph A. Thas (1978)
Mathematische Zeitschrift
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Nadjafikhah, Mehdi (2002)
Balkan Journal of Geometry and its Applications (BJGA)
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R.C. Cowsik, M.V. Nori (1978)
Inventiones mathematicae
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Udo Simon, An-Mi Li, Luc Vrancken (1991)
Mathematische Zeitschrift
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J. H. 0., Whitehead (1932)
Mathematische Zeitschrift
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Roger Wiegand (1988/89)
Mathematische Zeitschrift
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Steven Verpoort (2011)
Czechoslovak Mathematical Journal
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After having given the general variational formula for the functionals indicated in the title, the critical points of the integral of the equi-affine curvature under area constraint and the critical points of the full-affine arc-length are studied in greater detail. Notice. An extended version of this article is available on arXiv:0912.4075.
Takashi Kurose (1990)
Mathematische Zeitschrift
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