Une inégalité en géométrie affine des courbes planes
Overview & Synopsis
K. Pankrashkin recently proved a nice geometric inequality. Namely , for any simple smooth curve enclosing a domain of area A, the maximum curvature k max satisfies k max ≥ π/A, and the equality holds if and only if the curve is a circle. In this note, we prove an analogous affine geometric inequality.
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Document Information
| Document Title | Une inégalité en géométrie affine des courbes planes |
|---|---|
| Author / Organization | Jacques Lafontaine |
| Subject & Discipline | Multidisciplinary Academic Open Research |
| Categories | Science & Mathematics |
| Publication Year | 2015 |
| License / Rights | Open Access / Creative Commons |
| Resource Verification | Listed PDF (Verification Pending) |
| Original Host Website |
HAL Open Science
(hal.science)
|
| File Format | application/pdf (Portable Document Format) |
| Language | EN |
| Catalog ID | DOC-70651 |
| Original Source Link | Visit Source Page on hal.science » |