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Matematicheskie Zametki, 2014, Volume 95, Issue 5, Pages 656–665
DOI: https://doi.org/10.4213/mzm9678
(Mi mzm9678)
 

This article is cited in 9 scientific papers (total in 9 papers)

Isoperimetric Inequality for Curves with Curvature Bounded Below

A. A. Borisenkoa, K. D. Drachba

a Sumy State University
b V. N. Karazin Kharkiv National University
Full-text PDF (412 kB) Citations (9)
References:
Abstract: For embedded closed curves with curvature bounded below, we prove an isoperimetric inequality estimating the minimal area bounded by such curves for a fixed perimeter.
Keywords: isoperimetric inequality, embedded closed curve, minimal area.
Received: 24.05.2012
English version:
Mathematical Notes, 2014, Volume 95, Issue 5, Pages 590–598
DOI: https://doi.org/10.1134/S0001434614050034
Bibliographic databases:
Document Type: Article
UDC: 514.752.2+517.977.52
Language: Russian
Citation: A. A. Borisenko, K. D. Drach, “Isoperimetric Inequality for Curves with Curvature Bounded Below”, Mat. Zametki, 95:5 (2014), 656–665; Math. Notes, 95:5 (2014), 590–598
Citation in format AMSBIB
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  • https://doi.org/10.4213/mzm9678
  • https://www.mathnet.ru/eng/mzm/v95/i5/p656
  • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математические заметки Mathematical Notes
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    Abstract page:484
    Full-text PDF :193
    References:58
    First page:44
     
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