| Autor: |
Talat Korpınar, Rıdvan Cem Demirkol, Vedat Asil |
| Jazyk: |
angličtina |
| Rok vydání: |
2018 |
| Předmět: |
|
| Zdroj: |
International Journal of Analysis and Applications, Vol 16, Iss 2, Pp 254-263 (2018) |
| Druh dokumentu: |
article |
| ISSN: |
2291-8639 |
| Popis: |
In this paper, we firstly introduce kinematics properties of the moving particle lying on a surface S. We assume that the particle corresponds to a different type of surface curves such that they are characterized by using the Darboux vector field W in Minkowski spacetime. Based on this result, we present geometrical understanding of the energy of the particle in each Darboux vector fields whether they lie on a spacelike surface or a timelike surface. Then, we also determine the bending elastic energy functional for the same particle on a surface S by assuming the particle has a bending feature of elastica. Finally, we prove that bending energy formula can be represented by the energy of the particle in each Darboux vector field W. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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