Results 21 to 30 of about 10,016,701 (311)
On Ruled Surfaces of Coordinate Finite Type
WSEAS Transactions on Mathematics, 2022 This article. in the introduction, gives a brief historic description on surfaces of finite Chen-type and of coordinate finite Chen-type according to the first, second and third fundamental form of a surface in the Euclidean E^3 space .
Hassan Al-Zoubi +4 more
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On the Bertrand Offsets of Timelike Ruled Surfaces in Minkowski 3-Space
Symmetry, 2022 This work examines some classical results of Bertrand curves for timelike ruled and developable surfaces using the E. Study map. This provides the ability to define two timelike ruled surfaces which are offset in the sense of Bertrand.
N. Alluhaibi, R. Abdel-Baky, Monia Naghi
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STUDY ON THE PROJECTION WITH ELEVATIONS OF HELICOID-TYPE SURFACES
Journal of Industrial Design and Engineering Graphics, 2021 This paper presents right helicoid surfaces in various systems of representation. Emphasis was put on the representation of helicoid surfaces in the projection with elevations, where both the right helicoid with a perpendicular axis on the elevated plan ...
Adrian TUDOREANUCRISAN, Delia DRAGAN
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On special developable ruled surfaces with pointwise 1-type Gauss map
Miskolc Mathematical Notes, 2021 . In this paper, some special developable ruled surfaces with point-wise Gauss map are studied. Three different special developable ruled surfaces called rectifying ruled surface, generalized normal ruled surface and osculating type ruled surface are ...
Onur Kaya, M. Önder
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Abstract and Applied Analysis, 2022 In this paper, we introduce original definitions of Smarandache ruled surfaces according to Frenet-Serret frame of a curve in E3. It concerns TN-Smarandache ruled surface, TB-Smarandache ruled surface, and NB-Smarandache ruled surface.
Soukaina Ouarab
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Real structures on minimal ruled surfaces [PDF]
, 2002 In this paper, we give a complete description of the deformation classes of real structures on minimal ruled surfaces. In particular, we show that these classes are determined by the topology of the real structure, which means that real minimal ruled ...
Welschinger, Jean-Yves
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Canonical geometrically ruled surfaces [PDF]
Mathematische Nachrichten, 2005 AbstractWe prove the existence of canonical scrolls; that is, scrolls playing the role of canonical curves. First of all, they provide the geometrical version of Riemann Roch Theorem: any special scroll is the projection of a canonical scroll and they allow to understand the classification of special scrolls in PN.
Fuentes García, Luis, Pedreira, Manuel
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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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Ulrich bundles on ruled surfaces
, 2018 In this short note, we study the existence problem for Ulrich bundles on ruled surfaces, focusing our attention on the smallest possible rank. We show that existence of Ulrich line bundles occurs if and only if the coefficient $\alpha$ of the minimal ...
Aprodu, M., Costa, L., Miró-Roig, R.
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Smarandache Ruled Surfaces according to Darboux Frame in E3
Journal of Mathematics, 2021 This paper presents a new approach of constructing special ruled surfaces and aims to study their developability and minimalist conditions. Our concept opens opportunities for application in engineering, surface modeling, and architectural design.
Soukaina Ouarab
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