3-space
Characterizations of Slant Ruled Surfaces in the Euclidean 3-space
... Abstract. 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 ...
16
On Pseudohyperbolical Smarandache Curves in Minkowski 3 Space
... In this paper, we define pseudohyperbolical Smarandache curves according to the Sabban frame {š¼, š, š} in Minkowski 3-space. We obtain the geodesic curvatures and the expres- sions for the Sabban frameās ...
8
Complete noncompact CMC surfaces in hyperbolic 3 space
... tion theorem on Banach spaces to deduce a perturbation result for H-harmonic maps between hyperbolic 2-space and hyperbolic 3-space, and for this we require J to be invertible between appropriate ...
78
On Time like Ruled Surfaces in Minkowski 3 space
... Minkowski 3-space is investigated by strictly connected time-like straight line moving with Darbouxās frame along a diļ¬erentiable space-like ...
8
The differential formula of Hasimoto transformation in Minkowski 3 space
... Hasimoto [10] introduced the map from vortex filament solutions of Eulerās equations for incompressible fluids in the local induction approximation to solutions of the non- linear SchrĀØodinger equation and he showed ...
8
Similar Ruled Surfaces with Variable Transformations in Minkowski 3-Space E_1^3
... 1 3 . A surface in the Minkowski 3-space E 3 1 is called a timelike surface if the induced metric on the surface is a Lorentz metric and is called a spacelike surface if the induced metric on ...
12
ONE-PARAMETER HOMOTHETIC MOTION IN THE MINKOWSKI 3-SPACE
... semi-Euclidean space E 2 4 ...Minkowski 3- ...Euclidean space E 2 4 are studied in ...in 3-dimensional Lorentz ...in space-like and time-like regions and has only one instantaneous ...
8
19. Position vectors of general helices in Euclidean 3-space
... Abstract. In this paper, position vector of a general helix with respect to Frenet frame is determined. Besides, we deduce the natural representation of a general helix in terms of the curvature and torsion with respect ...
8
ON PARALLEL SURFACES IN MINKOWSKI 3-SPACE
... The equation III r = III obtained in (3.3) means that the third fundamental form is preserved for parallel surfaces in Minkowski 3-space. Letās give the coeļ¬cients of the ļ¬rst and second fundamental forms ...
9
On the Explicit Parametric Equation of a General Helix with First and Second Curvature in Nil 3-Space
... By some authors the notation Nil 3-space is only used if Ļ =(1/2). We will use the notation Nilā in short. It is well known that Nil space is isometric to Heisenberg space. The geometry of Nil ...
5
The fundamental group and Galois coverings of hexagonal systems in 3 space
... The consideration of benzenoid hydrocarbons as planar hexagonal systems is a well- developed theory [2, 7]. As first discussed by Wasserman [13], one may conceive of classes of hydrocarbons, including knotted rings and ...
15
Corresponding developable ruled surfaces in Euclidean 3-space E3
... Abstract. In this paper, motion of Darboux vector on two different space curves in Euclidean 3-space is investi- gated. The structure of the motion is based on ruled surfaces generated by Darboux ...
16
An irreducible Heegaard diagram of the real projective 3 space p3
... genus 3, and Ochiai [8, 9] gave counterexamples for the case of genera 3 and ...every 3-bridge projection of a link can be transformed into a minimum crossing one by a ļ¬nite sequence of wave moves if ...
7
Cluster 3: Space Radiation - Report
... Improvements in modelling radiation sources, accura- cy of radiation transport codes, and radiation monitor- ing will contribute to improved risk assessments and provide increased confidence that the mission can be ...
40
CLASSIFICATION THEOREMS OF RULED SURFACES IN MINKOWSKI 3-SPACE
... Remark 1.5. ([13]) A conical surface of G-type can be constructed by the functions f , g and the constant vector C by solving the differential equations generated by (1.1). Here, we provide an example of a cylindrical ...
20
Evolution of spherical images and Smarandache curves of a space curve in Euclidean 3-space
... Abstract. We study the evolution of a regular space curves, spherical images and Smarandache curves. We derive dynamical equation of moving frame along the evolving curve and its curvatures, consequently we get ...
9
On involute-evolute curve couple in the hyperbolic and de Sitter spaces
... The idea of a string involute is due to Christian Huygens (1658), who is also known for his work in optics. He discovered involutes while trying to develop a more accurate clock [1]. The involute of a given curve is a ...
18
A maximal \(T\)-space of \(\mathbb{F}_{3}[x]_0\)
... while when k is finite, then any free associative k-algebra has two maximal T-ideals, each of which is a also a maximal T-space, but that now there are infinitely many maximal T -spaces. However, no explicit ...
11
The Police National Computer and the Offenders Index:can they be combined for research purposes? Full Report
... The rather complex structure of the dataset creates problems. The most popular research software within the criminological research community (SPSS) is unable to read in the PNC data file structure beyond type 3. ...
92
An imaging technique for subsurface faults using Teleseismic Wave Records IIāImprovement in the detectability of subsurface faultsā
... To examine feasibility of our imaging procedure, we produce two kinds of synthetic data by the finite-difference method (Boore, 1972), which are used as observed records: noise-free data and data containing noise. Figure ...
9