A new aspect of rectifying curves and ruled surfaces in Galilean 3-space
نویسندگان
چکیده
منابع مشابه
Characterizations of Slant Ruled Surfaces in the Euclidean 3-space
In this study, we give the relationships between the conical curvatures of ruled surfaces generated by the unit vectors of the ruling, central normal and central tangent of a ruled surface in the Euclidean 3-space E^3. We obtain differential equations characterizing slant ruled surfaces and if the reference ruled surface is a slant ruled surface, we give the conditions for the surfaces generate...
متن کاملA characterization of curves in Galilean 4-space $G_4$
In the present study, we consider a regular curve in Galilean $4$-space $mathbb{G}_{4}$ whose position vector is written as a linear combination of its Frenet vectors. We characterize such curves in terms of their curvature functions. Further, we obtain some results of rectifying, constant ratio, $T$-constant and $N$-constant curves in $mathbb{G}_{4}$.
متن کاملRuled W - Surfaces in Minkowski 3 - Space
In this paper, we study a spacelike (timelike) ruled W-surface in Minkowski 3-space which satisfies nontrivial relation between elements of the set {K, KII , H, HII}, where (K,H) and (KII , HII) are the Gaussian and mean curvatures of the first and second fundamental forms, respectively. Finally, some examples are constructed and plotted.
متن کاملStructure and characterization of ruled surfaces in Euclidean 3-space
Keywords: Ruled surface Structure function Pitch function Angle function of pitch Weingarten surface Binormal ruled surface a b s t r a c t In this paper, using the elementary method we study ruled surfaces, the simplest foliated submanifolds, in Euclidean 3-space. We define structure functions of the ruled surfaces, the invariants of non-developable ruled surfaces and discuss geometric propert...
متن کاملRational curves and ruled orders on surfaces
We study ruled orders. These arise naturally in the Mori program for orders on projective surfaces and morally speaking are orders on a ruled surface ramified on a bisection and possibly some fibres. We describe fibres of a ruled order and show they are in some sense rational. We also determine the Hilbert scheme of rational curves and hence the corresponding non-commutative Mori contraction. T...
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: Filomat
سال: 2018
ISSN: 0354-5180,2406-0933
DOI: 10.2298/fil1808953d