The inverse problem on Roulettes in normed planes
| Autor: | Horst Martini, Ákos G. Horváth, Vitor Balestro |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
Pure mathematics
Algebra and Number Theory 010102 general mathematics Inverse problem 01 natural sciences Cycloid 0103 physical sciences Metric (mathematics) Euclidean geometry Line (geometry) Trigonometric functions Birkhoff orthogonality 010307 mathematical physics 0101 mathematics Mathematical Physics Analysis Mathematics |
| Zdroj: | Analysis and Mathematical Physics. 9:2413-2434 |
| ISSN: | 1664-235X 1664-2368 |
| Popis: | We investigate an inverse problem referring to roulettes in normed planes, thus generalizing analogous results of Bloom and Whitt on the Euclidean subcase. More precisely, we prove that a given curve can be traced by rolling another curve along a line if two natural conditions are satisfied. Our access involves details from a metric theory of trigonometric functions, which was recently developed for normed planes. Based on this, our approach differs from other ones in the literature. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|
Full text from SpringerLink