منابع مشابه
On Rectifying Curves as Centrodes and Extremal Curves in the Minkowski 3-space
In this paper, we characterize the spacelike, the timelike and the null rectifying curves in the Minkowski 3-space in terms of centrodes. In particular, we show that the spacelike and timelike rectifying curves are the extremal curves for which the corresponding function takes its extremal value. On the other hand, we also show that the null rectifying curves are not the extremal curves and giv...
متن کاملOn the Quaternionic Curves in the Semi-Euclidean Space E_4_2
In this study, we investigate the semi-real quaternionic curves in the semi-Euclidean space E_4_2. Firstly, we introduce algebraic properties of semi-real quaternions. Then, we give some characterizations of semi-real quaternionic involute-evolute curves in the semi-Euclidean space E42 . Finally, we give an example illustrated with Mathematica Programme.
متن کاملDual Curves and Pseudoholomorphic Curves
A notion of dual curve for pseudoholomorphic curves in 4–manifolds turns out to be possible only if the notion of almost complex structure structure is slightly generalized. The resulting structure is as easy (perhaps easier) to work with, and yields many analogues of results in complex surface theory, using a description of the local geometry via Cartan’s method of equivalence. Duality then un...
متن کاملA Study on Dual Mannheim Partner Curves
Mannheim partner curves are studied by Liu and Wang [3, 5]. Orbay and others extended the theory of the Mannheim curves to the ruled surface in Euclidean 3-space E3 [7]. We obtain the relationships between the curvatures and the torsions of the dual Mannheim partner curves with respect to each other. Mathematics Subject Classification: 53A04, 53A25, 53B40
متن کاملClosed Curves and Space Curves
So far we have discussed only ‘local’ properties of (plane) curves. These properties depend only on the behavior of a curve near a given point, and not on the ‘global’ shape of the curve. Now let us look at some global results about curves. The most famous, and perhaps the oldest, of these is the ‘isoperimetric inequality’, which relates the length of a certain ‘closed’ curve to the area it con...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Revista Matemática Complutense
سال: 2007
ISSN: 1988-2807,1139-1138
DOI: 10.5209/rev_rema.2007.v20.n2.16514