The Frenet and Darboux instantaneous rotation vectors for curves on space-like surface
| dc.contributor.author | Ali ÇALIŞKAN | |
| dc.contributor.author | Osman KILIÇ | |
| dc.date.accessioned | 2024-07-24T09:10:34Z | |
| dc.date.available | 2024-07-24T09:10:34Z | |
| dc.date.issued | 1996 | |
| dc.description.abstract | In this paper , considering the Darboux instantaneous rotation vector of a solid perpendicular trihedron in the Minkowski 3-space $R_1^3$ , the Frenet instantaneous rotation vector was stated for the Frenet trihedron of a space -like space curve (c) with the binormal b being a time-like vector. The Darboux deri¬vative formulas and the Darboux instantaneous rotation vector were found when the curve (c) is on a space -like surface , A fundamental relation , as a base for the geometry of space-like surfaces, was obtained among the Darboux vectors of the parameter curves $(c_1)$ , $(C_2)$ and an arbitrary curve (c) on a space-like surface. | |
| dc.identifier.issn | 1300-686X | |
| dc.identifier.uri | http://akademikarsiv.cbu.edu.tr:4000/handle/123456789/23015 | |
| dc.language.iso | eng | |
| dc.subject | [Fen > Temel Bilimler > Matematik] | |
| dc.title | The Frenet and Darboux instantaneous rotation vectors for curves on space-like surface | |
| dc.type | Araştırma Makalesi |