Investigation of a curve using Frenet frame in the lightlike cone
نویسندگان
چکیده
منابع مشابه
Timelike Quaternion Frame of a Non-lightlike Curve
A rotation matrix can be generated by a unit timelike quaternion in the three dimensional Minkowski space. In this paper, we correspond columns of this rotation matrix to Frenet vectors of a nonlightlike curve and we find a reformulation of Frenet’s formulas of nonlightlike curves in terms of the timelike quaternions in the Minkowski 3-space. Moreover, we do same things for the parallel transpo...
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15 صفحه اولCurves in the Lightlike Cone
In this paper, we study curves in the lightlike cone. We first obtain the conformally invariant arc length in the (n+1)-dimensional lightlike cone and then characterize some curves in the 2-dimensional lightlike cone and 3-dimensional lightlike cone. MSC 2000: 53A04, 53A30, 53B30
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ژورنال
عنوان ژورنال: Open Physics
سال: 2017
ISSN: 2391-5471
DOI: 10.1515/phys-2017-0018