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Funktsional'nyi Analiz i ego Prilozheniya, 2000, Volume 34, Issue 2, Pages 1–8
DOI: https://doi.org/10.4213/faa290 (Mi faa290) 		 
This article is cited in 8 scientific papers (total in 8 papers)

Self-linking of Spatial Curves without Inflections and Its Applications

F. Aicardi

International School for Advanced Studies (SISSA)
Full-text PDF (494 kB) Citations (8)
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DOI: https://doi.org/10.4213/faa290
Abstract: The self-linking number of generic smooth closed curves in Euclidean $3$-space is studied. A formula expressing the self-linking number via the signs of the double points of a generic projection of the curve on a plane and the signs of the torsion at the points that are projected into inflection points is obtained. Every local invariant of generic curves is proved to be equal, up to an additive constant, to a linear combination of two basic local invariants: the number of flattening points and the self-linking number.
Received: 28.12.1998
English version:
Functional Analysis and Its Applications, 2000, Volume 34, Issue 2, Pages 79–85
DOI: https://doi.org/10.1007/BF02482420
Bibliographic databases:
Document Type: Article
UDC: 514.752.23
Language: Russian
Citation: F. Aicardi, “Self-linking of Spatial Curves without Inflections and Its Applications”, Funktsional. Anal. i Prilozhen., 34:2 (2000), 1–8; Funct. Anal. Appl., 34:2 (2000), 79–85
Citation in format AMSBIB
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\transl
\jour Funct. Anal. Appl.
\yr 2000
\vol 34
\issue 2
\pages 79--85
\crossref{https://doi.org/10.1007/BF02482420}
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  • https://doi.org/10.4213/faa290
  • https://www.mathnet.ru/eng/faa/v34/i2/p1
    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Функциональный анализ и его приложения Functional Analysis and Its Applications
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    Full-text PDF :243
    References:36
    First page:1
     
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