Results 1 to 10 of about 502,851 (177)

Classification Theorems of Ruled Surfaces in Minkowski Three-Space

Mathematics, 2018
By generalizing the notion of the pointwise 1-type Gauss map, the generalized 1-type Gauss map has been recently introduced. Without any assumption, we classified all possible ruled surfaces with the generalized 1-type Gauss map in a 3-dimensional ...
Miekyung Choi, Young Ho Kim
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Singular Miminal Ruled Surfaces

, 2023
In this paper we study surfaces with minimal potential energy under gravitational forces, called singular minimal surfaces. We prove that a singular minimal ruled surface in a Euclidean $3-$space is cylindrical, in particular as an $α-$catenary cylinder by a result of López [Ann. Glob. Anal. Geom. 53(4) (2018), 521-541]. This result is also extended in
Aydin, Muhittin Evren, Kara, Ayla Erdur
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Characteristic properties of the ruled surface with Darboux frame in E^3

Kuwait Journal of Science, 2015
In this study, the ruled surface with Darboux frame is defined. Then, the ruled surfacescharacteristic properties which are related to the geodesic curvature, the normal curvature andthe geodesic torsion are investigated. The relation between the Darboux
GÜLSÜM YELİZ ŞENTÜRK, SALİM YÜCE
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Ruled Surfaces with Bishop vectors via Smarandache geometry

MANAS: Journal of Engineering
The paper studies new ruled surfaces with the vectors of Bishop frame via Smarandache geometry. The fundamental forms and the corresponding curvatures are provided for each ruled surface to draw characteristics of the surfaces such as developability and ...
Kebire Hilal Ayvacı Şimşek, Süleyman Şenyurt, Davut Canlı   +2 more
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Triple-point defective ruled surfaces

Journal of Pure and Applied Algebra, 2008
15 ...
Chiantini L., Markwig T.
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Characterization of the Evolute Offset of Ruled Surfaces with B-Darboux Frame

Journal of New Theory, 2020
In this paper, we first introduce the evolute offset of non-cylindricalruled surfaces with B-Darboux frame in Euclidean 3-space. Then some geometricproperties of this evolute offset of non-cylindrical ruled surface are studied.
Gül Ugur Kaymanli
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Mannheim Offsets of Ruled Surfaces

Mathematical Problems in Engineering, 2009
In a recent works Liu and Wang (2008; 2007) study the Mannheim partner curves in the three dimensional space. In this paper, we extend the theory of the Mannheim curves to ruled surfaces and define two ruled surfaces which are offset in the sense of Mannheim.
Orbay, Keziban, Kasap, Emin, Aydemir, Ismail   +2 more
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Two geometric examples of „transitional“ areas in architecture

Littera Scripta, 2011
This article analyzes the relevant geometric properties of the two „transition“ (sheating) and rotationally asymmetric surfaces with the same horizontal ring at the base, one of which is developable linear, while the other is linear undevelopable with ...
Radimír Novotný
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New examples of surfaces in H³ with conformal normal Gauss map

Anais da Academia Brasileira de Ciências, 2006
In this paper we give some examples of surfaces in H³ with conformal normal Gauss map with respect to the second conformal structure and prove some global properties.Neste trabalho, damos alguns exemplos de superfícies no espaço hiperbólico de dimensão ...
Shuguo Shi
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The Ruled Surfaces According to Bishop Frame in Minkowski 3-Space

Abstract and Applied Analysis, 2013
We investigate the ruled surfaces generated by a straight line in Bishop frame moving along a spacelike curve in Minkowski 3-space. We obtain the distribution parameters, mean curvatures.
Nural Yüksel
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