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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2009, Volume 267, Pages 65–81 (Mi tm2590)  
This article is cited in 12 scientific papers (total in 12 papers)

Bifurcations of Affine Equidistants

P. J. Giblina, J. P. Wardera, V. M. Zakalyukinab

a University of Liverpool, Liverpool, United Kingdom
b Moscow State University, Moscow, Russia
Full-text PDF (379 kB) Citations (12)
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Abstract: The bifurcations of so-called affine equidistants for a surface in three-space are classified and described geometrically. An affine equidistant is formed by the points dividing in a given ratio the segment with the endpoints lying on a given surface provided that the tangent planes to the surface at these endpoints are parallel. The most interesting case corresponds to segments near parabolic lines. All singularities turn out to be stable and simple.
Received in January 2009
English version:
Proceedings of the Steklov Institute of Mathematics, 2009, Volume 267, Pages 59–75
DOI: https://doi.org/10.1134/S0081543809040051
Bibliographic databases:
UDC: 514
Language: English
Citation: P. J. Giblin, J. P. Warder, V. M. Zakalyukin, “Bifurcations of Affine Equidistants”, Singularities and applications, Collected papers, Trudy Mat. Inst. Steklova, 267, MAIK Nauka/Interperiodica, Moscow, 2009, 65–81; Proc. Steklov Inst. Math., 267 (2009), 59–75
Citation in format AMSBIB
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    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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