Results 31 to 40 of about 10,016,701 (311)
Timelike-Ruled and Developable Surfaces in Minkowski 3-Space E13
Frontiers in Physics, 2022 In this study, the timelike-ruled and developable surfaces are constructed in Minkowski 3-space E13. Using the E. Study map, we demonstrate that dual forms of timelike-ruled and developable surfaces can be obtained from the coordinates and first ...
Fatemah Mofarreh
doaj +1 more source
On the Zariski-Lipman conjecture for normal algebraic surfaces [PDF]
, 2014 We consider the Zariski-Lipman Conjecture on free module of derivations for algebraic surfaces. Using the theory of non-complete algebraic surfaces, and some basic results about ruled surfaces, we will prove the conjecture for several classes of affine ...
Indranil Biswas +3 more
core +1 more source
Covering rational ruled surfaces
Mathematics of Computation, 2017 We present an algorithm that covers any given rational ruled surface with two rational parametrizations. In addition, we present an algorithm that transforms any rational surface parametrization into a new rational surface parametrization without affine base points and such that the degree of the corresponding maps is preserved.
Sendra Pons, Juan Rafael +2 more
openaire +4 more sources
Cyclic surfaces accompanying non-ruled quadrics of rotation
Омский научный вестник, 2023 The paper considers the shaping of cyclic surfaces based on nonlinear rotation, in which the axis of rotation and the generatrix in the general case are three-dimensional smooth curves. As a tool for shaping surfaces of non-linear rotation, the method of
K. L. Panchuk +2 more
doaj +1 more source
Evolution of space curves and the special ruled surfaces with modified orthogonal frame
, 2020 In this study, we investigate the evolution of space curves and the special ruled surfaces with modified orthogonal frame. Firstly, we recall the relations between the Serret-Frenet frame and the modified orthogonal frame.
K. Eren, Hidayet Huda Kosal
semanticscholar +1 more source
Kuwait Journal of Science, 2020 In this study, we define general rectifying ruled surfaces in the Euclidean 3-space E^3. We give some characterizations of rectifying ruled surfaces by considering the curvatures of base curve.
Mehmet Önder, Tanju Kahraman
doaj
Generalized Rectifying Ruled Surfaces of Special Singular Curves
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2023 In this study, generalized rectifying ruled surfaces of Frenet-type framed base curves in the three-dimensional Euclidean space are introduced. These surfaces are a generalization of not only the tangent and binormal surfaces of Frenet-type framed base ...
İşbilir Zehra +2 more
doaj +1 more source
Ruled Laguerre minimal surfaces
, 2012 A Laguerre minimal surface is an immersed surface in the Euclidean space being an extremal of the functional \int (H^2/K - 1) dA. In the present paper, we prove that the only ruled Laguerre minimal surfaces are up to isometry the surfaces R(u,v) = (Au ...
A.I. Bobenko +30 more
core +1 more source
Ruled surfaces with constant Disteli-axis
AIMS Mathematics, 2020 This work develops the kinematic-geometry for ruled surfaces by using the analogy with spherical kinematics. This provides the ability to compute set of curvature functions which define the local shape of ruled surfaces. Hence, the well known equation of
N. Alluhaibi
semanticscholar +1 more source
Tetrads of ruled surfaces [PDF]
Transactions of the American Mathematical Society, 1929 The projective differential geometry of a configuration composed of three ruled surfaces whose generators are in correspondence in sets of three has been discussed in two recent papers by the author. t It is the purpose of the present paper to present briefly an analytic basis for the projective differential geometry of a configuration composed of four
openaire +1 more source