Disks in Curves of Bounded Convex Curvature
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We say that a simple, closed curve γ in the plane has bounded convex curvature if for every point x on γ, there is an open unit disk Ux and (Formula presented.) such that (Formula presented.) and (Formula presented.). We prove that the interior of every curve of bounded convex curvature contains an open unit disk.
Original language | English |
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Journal | American Mathematical Monthly |
Volume | 127 |
Issue number | 7 |
Pages (from-to) | 579-593 |
Number of pages | 15 |
ISSN | 0002-9890 |
DOIs | |
Publication status | Published - 2020 |
- MSC: Primary 51M04, Secondary 53A04
Research areas
ID: 246865762