Notes on the bienergy and biangle of a moving particle lying in a surface of euclidean space
| Autor: | Talat Korpinar, Yasin Unluturk |
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| Jazyk: | English<br />Portuguese |
| Rok vydání: | 2022 |
| Předmět: | |
| Zdroj: | Boletim da Sociedade Paranaense de Matemática, Vol 41 (2022) |
| Druh dokumentu: | article |
| ISSN: | 0037-8712 2175-1188 |
| DOI: | 10.5269/bspm.51413 |
| Popis: | In this study, we research bienergy and biangles of moving particles lying in the surface of Euclidean space by using their energy and angle values. We present a geometrical understanding of a bienergy of a particle in Darboux vector fields depending on surface. We also give a relation between bienergy of the curve corresponding to a moving particle in space and bienergy of the elastica assuming the curve that has the elastic feature. We conclude our results by providing an bienergy-curve graphics for different cases. |
| Databáze: | Directory of Open Access Journals |
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