Results 31 to 40 of about 29,853 (133)
Mannheim Curves in the three-dimensional Sphere
, 2015 Mannheim curves are defined for immersed curves in 3-dimensional sphere S^3 . The definition is given by considering the geodesics of S^3. First, two special geodesics, called principal normal geodesic and binormal geodesic, of S^3 are defined by using Frenet vectors of a curve immersed in S^3. Later, the curve alpha is called a Mannheim curve if there
Kahraman, Tanju, Onder, Mehmet
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Mannheim B-Curves in the Euclidean 3-Space E^3
Kuwait Journal of Science, 2017 In this study we have defined Mannheim curves according to a Bishop frame and called Mannheim B-curves in the Euclidean 3-space E^3. Then the relations have been found between the Bishop and Frenet vectors of these curves and some conditions have been ...
Melek Masal, Ayse Z. Azak
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Some integral curves according to quasi-frame in Euclidean 3-space
Scientific AfricanThis study explores integral curves associated with the quasi-frame in three-dimensional Euclidean space. We focus specifically on the quasi-normal and quasi-binormal vectors.
Ayman Elsharkawy, Hasnaa Baizeed
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Smarandache Curves According to Sabban Frame Belonging to Mannheim Curves Pair
Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics, 2018 Summary: In this paper, we investigate special Smarandache curves according to Sabban frame, using the idea of Mannheim partner curve of spherical indicatrix. We created Sabban frame by means of Mannheim partner curve of spherical indicatrix. We explained that position vectors of a Smarandache curves are consisted by Sabban frame given above.
Şenyurt, Süleyman +2 more
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On the quaternionic Mannheim curves of Aw(k)-type in Euclidean space E3
Kuwait Journal of Science, 2015 In this paper, we consider that the curvature conditions of Aw(k)-type (1≤ k ≤ 3) quaternioniccurves in Euclidean space E3 and investigates quaternionic Mannheim curves α:I →Q withk ≠ 0 and r ≠ 0 .
SEZAI KIZILTUĞ, YUSUF YAYLI
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Osculating Mate of a Curve in Minkowski 3-Space
AxiomsIn this paper, we introduce and develop the concept of osculating curve pairs in the three-dimensional Minkowski space. By defining a vector lying in the intersection of osculating planes of two non-lightlike curves, we characterize osculating mates ...
İskender Öztürk +2 more
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A Study on Dual Mannheim Partner Curves
, 2010 Mannheim partner curves are studied by Liu and Wang [1,2]. Orbay and others extended the theory of the Mannheim curves to the ruled surface in Euclidean 3-space[3]. We obtain the relationships between the curvatures and the torsions of the dual Mannheim partner curves with respect to each other.
Gungor, M. A., Tosun, M.
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CHRISMED Journal of Health and ResearchBackground and Objective: Peritonitis following hollow viscus perforation is commonly encountered in surgical emergency, which needs prompt and aggressive management. Unlike foreign nations, no score is routinely used in most tertiary medical colleges of
Debarati RaiChoudhuri +3 more
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Non-Null Weakened Mannheim curves
, 2012 In this study, non-null Frenet-Mannheim curves and non-null Weakened Mannheim curves are investigated in Minkowski 3-space. Some characterizations for this curves are obtained.
Tunçer, Yılmaz, Karacan, Murat Kemal
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Generalized Mannheim quaternionic curves in Euclidean 4-space
Applied Mathematical Sciences, 2013 In this paper, we define a generalized Mannheim quaternionic curve in the four-dimensional Euclidean space R 4 and investigate the properties of it.
Yoon D.W. +2 more
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