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- W3036703351 abstract "Given a pair of real functions $(k,f)$, we study the conditions they must satisfy for $k+lambda f$ to be the curvature in the arc-length of a closed planar curve for all real $lambda$. 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. Finally, the characterization obtained is used to show that a sufficient analogue of the 4-vertex theorem cannot be developed." @default.
- W3036703351 created "2020-06-25" @default.
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- W3036703351 date "2020-06-17" @default.
- W3036703351 modified "2023-09-26" @default.
- W3036703351 title "Affine subspaces of curvature functions from closed planar curves" @default.
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- W3036703351 hasPublicationYear "2020" @default.
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