Results 11 to 20 of about 594 (217)
The Cohomological Genus and Symplectic Genus for 4-Manifolds of Rational or Ruled Types
Mathematics, 2021 An important problem in low dimensional topology is to understand the properties of embedded or immersed surfaces in 4-dimensional manifolds. In this article, we estimate the lower genus bound of closed, connected, smoothly embedded, oriented surfaces in
Bo Dai, Chung-I Ho
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Spacelike Ruled Surface In Hyperbolic 3-Space
Cumhuriyet Science Journal, 2018 In this paper in Hyperbolic space , we study a spacelike ruled surfaces. A spacelike ruledsurface in is acquired by aspacelike geodesic moving along a spacelike curve.
Tuğba Mert
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Offset Ruled Surface in Euclidean Space with Density
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021 In this paper, offset ruled surfaces in these spaces are defined by using the geometry of ruled surfaces in Euclidean space with density. The mean curvature and Gaussian curvature of these surfaces are studied.
Ulucan Neslihan, Akyigit Mahmut
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Singularities of the Ruled Surfaces According to RM Frame and Natural Lift Curves
Cumhuriyet Science Journal, 2022 In this study, the ruled surface generated by the natural lift curve in IR^3 is obtained by using the isomorphism between unit dual sphere, DS^2 and the subset of the tangent bundle of unit 2-sphere, T\bar{M}. Then, exploitting E.
Emel Karaca
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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
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Principle and Method for Machining Face Gear with Developable Ruled Surface
Xibei Gongye Daxue Xuebao, 2020 The tooth surface of a face gear is recognized as un-developable ruled surface in tradition, which result in the problem that face gear generation using simple cutter with high efficiency and accuracy puzzled people for a long time.
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Bisector Surfaces Through A Common Line of Curvatures and Its Classifications
Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2018 In this paper, we study the Bisector surface, which definesthe line of curvature on a surface play an importance role. Firstly, theBisector surface constructed by a point and a space curve given in Euclidean3-space.
Muhammed Talat Sarıaydın
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Triads of Ruled Surfaces [PDF]
Transactions of the American Mathematical Society, 1927 Py, (yl, Y2, Y3, y4) ; Pz, (z1l Z2, Z3, Z4) ; Pa, (a,) a2, a3, a4) ; P#, (#l) 32, /33 (4), which in turn determine two non-intersecting lines ly, la#. As x varies these points trace four curves Cy, Cz, Ca, C,, while the lines ly, la# generate two ruled surfaces Ry, Ra#, on the first of which lie the curves Cy, Cz, and on the second, the curves Ca, Co ...
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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
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Ruled algebraic surfaces with a main frame from three superellipses
Structural Mechanics of Engineering Constructions and Buildings, 2022 An opportunity of conversion of algebraic surfaces with a main frame from three superellipses of general type into ruled surfaces of several views is shown. It is necessary to take one, two, or all of three superellipses in the form of a rhombus, i.e. it
Iraida A. Mamieva
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