JOURNAL ARTICLE

On the Total Perimeter of Pairwise Disjoint Convex Bodies.

  • Published In: Studia Scientiarum Mathematicarum Hungarica, 2024, v. 61, n. 3. P. 237 1 of 3

  • Database: Academic Search Ultimate 2 of 3

  • Authored By: Akopyan, Arseniy; Glazyrin, Alexey 3 of 3

Abstract

In this note we introduce a pseudometric on closed convex planar curves based on distances between normal lines and show its basic properties. Then we use this pseudometric to give a shorter proof of the theorem by Pinchasi that the sum of perimeters of convex planar bodies with disjoint interiors contained in a convex body of perimeter and diameter is not greater than + 2(− 1). [ABSTRACT FROM AUTHOR]

Additional Information

  • Source:Studia Scientiarum Mathematicarum Hungarica. 2024/09, Vol. 61, Issue 3, p237
  • Document Type:Article
  • Subject Area:Mathematics
  • Publication Date:2024
  • ISSN:0081-6906
  • DOI:10.1556/012.2024.04317
  • Accession Number:181072446
  • Copyright Statement:Copyright of Studia Scientiarum Mathematicarum Hungarica is the property of Akademiai Kiado and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)

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