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Matematicheskie Zametki, 2008, Volume 83, Issue 2, Pages 286–304
DOI: https://doi.org/10.4213/mzm3812 (Mi mzm3812) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Local Singularities of Chord Sets

L. P. Stunzhas

M. V. Lomonosov Moscow State University
Full-text PDF (547 kB) Citations (2)
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DOI: https://doi.org/10.4213/mzm3812
Abstract: In the present paper, we classify the local singularities of chord sets, i.e., of the envelopes of two-parameter families of straight lines connecting pairs of points on two smooth curves in $\mathbb R^3$; we also present geometric criteria for the chord set to have a given local singularity.
Keywords: smooth curves in $\mathbb R^3$, chord set, local singularity, smooth curve, germ of a curve, diffeomorphism, projective invariance.
Received: 21.11.2006
Revised: 18.04.2007
English version:
Mathematical Notes, 2008, Volume 83, Issue 2, Pages 257–273
DOI: https://doi.org/10.1134/S0001434608010276
Bibliographic databases:
UDC: 514.123.4
Language: Russian
Citation: L. P. Stunzhas, “Local Singularities of Chord Sets”, Mat. Zametki, 83:2 (2008), 286–304; Math. Notes, 83:2 (2008), 257–273
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математические заметки Mathematical Notes
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