@article{73d0d8d03e2d4f2f9c8fd29d105003fb,
title = "Affine Subspaces of Curvature Functions from Closed Planar Curves",
abstract = "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.",
keywords = "Closed curves, interpolation of curvature",
author = "Leonardo Alese",
year = "2021",
month = may,
doi = "10.1007/s00025-021-01378-6",
language = "English",
volume = "76",
journal = "Results in mathematics",
issn = "1422-6383",
publisher = "Birkhauser Verlag Basel",
number = "2",
}