Affine Subspaces of Curvature Functions from Closed Planar Curves

Leonardo Alese

Research output: Contribution to journalArticlepeer-review


Given a pair of real functions (k, f), we study the conditions they must satisfy for k+ λf to be the curvature in the arc-length of a closed planar curve for all real λ. Several equivalent conditions are pointed out, certain periodic behaviours are shown as essential and a family of such pairs is explicitely constructed. The discrete counterpart of the problem is also studied.

Original languageEnglish
Article number70
Number of pages14
JournalResults in mathematics
Issue number2
Publication statusPublished - May 2021


  • Closed curves
  • interpolation of curvature

ASJC Scopus subject areas

  • Applied Mathematics
  • Mathematics (miscellaneous)

Fields of Expertise

  • Information, Communication & Computing


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