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Bertrand and Mannheim partner -curves on parallel surfaces [PDF]
Boletim da Sociedade Paranaense de Matemática, 2017 In this paper we study Bertrand and Mannheim partner -curves on parallel surface. Using the definition of parallel surfaces, first we find images of two curves lying on two different surfaces and satisfying the conditions to be Bertrand partner -curve or
Mehmet Onder +2 more
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Mannheim curves and their partner curves in Minkowski 3-space E13
Demonstratio Mathematica, 2022 The modified orthogonal frame is an important tool to study analytic space curves whose curvatures have discrete zero points. In this article, by using the modified orthogonal frame, Mannheim curves and their partner curves are investigated in Minkowski ...
Elsharkawy Ayman, Elshenhab Ahmed M.
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Some characterizations of Mannheim partner curves in the Minkowski 3-space E13; pp. 210–220 [PDF]
Proceedings of the Estonian Academy of Sciences, 2011 In this paper, we give some characterizations of Mannheim partner curves in the Minkowski 3-space E13. Firstly, we classify these curves in E13. Next, we give some relationships characterizing these curves and we show that the Mannheim theorem is not ...
Tanju Kahraman +3 more
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On Mannheim partner curves in three dimensional Lie groups [PDF]
Miskolc Mathematical Notes, 2014 In this paper, we define Mannheim partner curves in a three dimensional Lie group G with a bi-invariant metric. And then the main result in this paper is given as (Theorem 3.3): A curve with the Frenet apparatus {T,N,B, , } in G is a Mannheim partner curve if and only if (1+H2)=1, where is constant and H is the harmonic curvature function ...
Okuyucu, O. Zeki +3 more
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On null and pseudo null Mannheim curves in Minkowski 3-space [PDF]
Journal of Geometry, 2013 In this paper, we prove that there are no null Mannheim curves in Minkowski 3-space. We also prove that the only pseudo null Mannheim curves in Minkowski 3-space are pseudo null straight lines and pseudo null circles whose Mannheim partner curves are ...
Grbović, Milica +2 more
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Smarandache curves according to Sabban frame for Darboux vector of Mannheim partner curve [PDF]
AIP Conference Proceedings, 2017 In this paper, we investigated special Smarandache curves belonging to Sabban frame drawn on the surface of the sphere by Darboux vector of Mannheim partner curve. We created Sabban frame belonging to this curve. It was explained Smarandache curves position vector is consisted by Sabban vectors belonging to this curve.
Senyurt, Suleyman +2 more
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Mannheim partner curves in Cartan-Vranceanu 3-space
Filomat, 2016 In this paper, the Mannheim mate curves of the proper biharmonic curves in Cartan-Vranceanu 3-dimensional spaces (M,ds2l,m), with l2 ? 4m and m ? 0 are studied. We give the definition of the Mannheim mate of a proper biharmonic curve and give the explicit parametric equations of that Mannheim mate curve in Cartan-Vranceanu 3-dimensional ...
Ayse Ceylan, Abdullah Ergin
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Leveraging private capital for climate mitigation: evidence from the clean development mechanism [PDF]
, 2013 To mitigate climate change, states must make significant investments into energy and other sectors. To solve this problem, scholars emphasize the importance of leveraging private capital.
Bayer, Patrick +2 more
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Mannheim Curves in Nonflat 3-Dimensional Space Forms
Advances in Mathematical Physics, 2015 We consider the Mannheim curves in nonflat 3-dimensional space forms (Riemannian or Lorentzian) and we give the concept of Mannheim curves. In addition, we investigate the properties of nonnull Mannheim curves and their partner curves.
Wenjing Zhao, Donghe Pei, Xinyu Cao
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Mannheim partner curves in 3-dimensional Heisenberg group
International Journal of the Physical Sciences, 2011 In this study, we give some basic theorems for Mannheim partner curves in three dimensional Heisenberg group. We also found the relations between the curvatures and torsions of these associated curves. Key words: Heisenberg group, Mannheim curve.
Tul S., Sarioğlugil A.
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