A characterization of curves according to parallel transport frame in Euclidean n-space E^n
| Autor: | Sezgin Büyükkütük, Günay Öztürk, İlim Kişi |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2017 |
| Předmět: |
010302 applied physics
Physics Parallel transport frame Parallel transport lcsh:T57-57.97 lcsh:Mathematics 010102 general mathematics Mathematical analysis Frame (networking) Characterization (mathematics) Space (mathematics) lcsh:QA1-939 01 natural sciences Parallel transport frame position vector position vector 0103 physical sciences Euclidean geometry lcsh:Applied mathematics. Quantitative methods 0101 mathematics constant-ratio curves |
| Zdroj: | New Trends in Mathematical Sciences, Vol 5, Iss 2, Pp 61-68 (2017) Volume: 5, Issue: 2 61-68 New Trends in Mathematical Sciences |
| ISSN: | 2147-5520 |
| Popis: | The position vector of a regular curve in Euclidean n-space En can be written as a linear combination of its parallel transportvectors. In the present study, we characterize such curves in terms of their curvature functions. Further, we obtain some results of constant ratio, T-constant and N-constant type curves in En. |
| Databáze: | OpenAIRE |
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