ترابری موازی قابی در فضای اقلیدسی چهار بعدی
Publish place: Caspian Journal of Mathematical Sciences، Vol: 3، Issue: 1
Publish Year: 1393
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_CJMS-3-1_009
تاریخ نمایه سازی: 16 مهر 1398
Abstract:
In this work, we give parallel transport frame of a curve and we introduce the relations between the frame and Frenet frame of the curve in 4-dimensional Euclidean space. The relation which is well known in Euclidean 3-space is generalized for the
rst time in 4-dimensional Euclidean space. Then we obtain the condition for spherical curves using the parallel transport frame of them. The condition in terms of { and is so complicated but in terms of k1 and k2 is simple. So, parallel transport frame is important to make easy some complicated characterizations. Moreover, we characterize curves whose position vectors lie in their nor- mal, rectifying and osculating planes in 4-dimensional Euclidean space E4:
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Authors
F. GÖKÇELIK
Department of Mathematics, Faculty of Science, University of Ankara Tandogan, Ankara, TURKEY
Z. BOZKURT
Department of Mathematics, Faculty of Science, University of Ankara Tandogan, Ankara, TURKEY
I. GÖK
Department of Mathematics, Faculty of Science, University of Ankara Tandogan, Ankara, TURKEY
N. EKMEKCI
Department of Mathematics, Faculty of Science, University of Ankara Tandogan, Ankara, TURKEY