Bishop Çatısı ile İlişkilendirilmiş Hasimoto Yüzeyleri

Abstract

Bu çalışmada Öklidyen 3-uzayındaki Hasimoto yüzeyleri incelenmiştir. İlk olarak, Öklidyen 3-uzayındaki Hasimoto yüzeylerinin geometrik özellikleri incelenmiştir. Özellikle Bishop çatısı ile ilişkilendirilmiş bu yüzeylerin eğrilikleri elde edilmiştir. Daha sonrasında bu yüzeylerin Bishop çatısına göre parametre eğrilerinin bazı karakterizasyonları verilmiştir.

Keywords

• Hasimoto yüzeyler,Duman halkası denklemi,Bishop çatısı

The Hasimoto Surface According to Bishop Frame

Abstract

In this paper, we investigate the Hasimoto surfaces in Euclidean 3- space. Firstly, we investigate the geometric properties of these surfaces in Euclidean 3-space. Especially, we obtain the curvatures of Hasimoto surface according to Bishop frame. Then we give some characterization of parameter curves obtained according to Bishop frame of Hasimoto surfaces.

Keywords

• Hasimoto surface,Smoke ring equation,Bishop frame

References

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