منابع مشابه
On slant helices in Minkowski space E 31
We consider a curve α = α(s) in Minkowski 3-space E31 and denote by {T,N,B} the Frenet frame of α. We say that α is a slant helix if there exists a fixed direction U of E31 such that the function 〈N(s), U〉 is constant. In this work we give characterizations of slant helices in terms of the curvature and torsion of α. MSC: 53C40, 53C50
متن کاملSlant Helices in Euclidean 4-space E
We consider a unit speed curve α in Euclidean four-dimensional space E and denote the Frenet frame by {T,N,B1,B2}. We say that α is a slant helix if its principal normal vector N makes a constant angle with a fixed direction U . In this work we give different characterizations of such curves in terms of their curvatures. MSC: 53C40, 53C50
متن کاملNo Null-Helix Mannheim Curves in the Minkowski Space E13
In the study of the fundamental theory and the characterizations of space curves, the related curves for which there exist corresponding relations between the curves are very interesting and important problems. The most fascinating examples of such curve are associated curves, the curves for which at the corresponding points of them one of the Frenet vectors of a curve coincides with the one of...
متن کاملTimelike B 2 -slant Helices in Minkowski Space E 4 1
We consider a unit speed timelike curve α in Minkowski 4-space E41 and denote the Frenet frame of α by {T,N,B1,B2}. We say that α is a generalized helix if one of the unit vector fields of the Frenet frame has constant scalar product with a fixed direction U of E41. In this work we study those helices where the function 〈B2, U〉 is constant and we give different characterizations of such curves....
متن کاملk−type partially null and pseudo null slant helices in Minkowski 4-space
We introduce the notion of a k-type slant helix in Minkowski space E1. For partially null and pseudo null curves in E1, we express some characterizations in terms of their curvature and torsion functions. AMS subject classifications: 53C40, 53C50
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ژورنال
عنوان ژورنال: Journal of the Korean Mathematical Society
سال: 2011
ISSN: 0304-9914
DOI: 10.4134/jkms.2011.48.1.159