Spacelike Bertrand curves in Minkowski 3-space revisited

In the geometry of curves in E , if the principal normal vector field of a given space curve with non-zero curvatures is the principal normal vector field of another space curve , then the curve is called a Bertrand curve and is called Bertrand partner of . These curves have been studied in di erent...

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Veröffentlicht in:Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică 2023-09, Vol.31 (3), p.87-109
Hauptverfasser: Erdem, Hatice Altın, İlarslan, Kazım
Format: Artikel
Sprache:eng
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Zusammenfassung:In the geometry of curves in E , if the principal normal vector field of a given space curve with non-zero curvatures is the principal normal vector field of another space curve , then the curve is called a Bertrand curve and is called Bertrand partner of . These curves have been studied in di erent space over a long period of time and found wide application in di erent areas. Therefore, we have a great knowledge of geometric properties of these curves. In this paper, revested results for spacelike Bertrand curves with non-null normal vectors will be given with the previous studies on Bertrand curves in E . Follow this revested results, the Bertrand curve conditions of a spacelike curve are obtained in E . In addition, new curve samples that meet the obtained conditions are constructed and the graphs of these curves are given.
ISSN:1844-0835
DOI:10.2478/auom-2023-0033