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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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Bertrand and Mannheim Curves of Spherical Framed Curves in a Three-Dimensional Sphere
Mathematics, 2022 We investigated differential geometries of Bertrand curves and Mannheim curves in a three-dimensional sphere. We clarify the conditions for regular spherical curves to become Bertrand and Mannheim curves.
Masatomo Takahashi, Haiou Yu
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Geometry of coupled dispersionless equations with Mannheim curves
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2023 In this paper, a special kind of curve pair associated with each other by the linear dependency between the principal normal vector of the first curve (called Mannheim curve) and the binormal vector of the second curve (called Mannheim partner curve) is ...
Eren Kemal
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Singular Special Curves in 3-Space Forms
Mathematics, 2020 We study the singular Bertrand curves and Mannheim curves in the 3-dimensional space forms. We introduce the geometrical properties of such special curves.
Jie Huang, Donghe Pei
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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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Null Darboux Curve Pairs in Minkowski 3-Space
Axioms, 2021 Based on the fundamental theories of null curves in Minkowski 3-space, the null Darboux mate curves of a null curve are defined which can be regarded as a kind of extension for Bertrand curves and Mannheim curves in Minkowski 3-space.
Jinhua Qian +3 more
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On Some Quasi-Curves in Galilean Three-Space
Axioms, 2023 In this paper, the quasi-frame and quasi-formulas are introduced in Galilean three-space. In addition, the quasi-Bertrand and the quasi-Mannheim curves are studied.
Ayman Elsharkawy +4 more
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Imprint of galactic rotation curves and metric fluctuations on the recombination era anisotropy
Physics Letters B, 2023 In applications of the conformal gravity theory it has been shown that a scale of order 105 Mpc due to large scale inhomogeneities such as clusters of galaxies is imprinted on the rotation curves of galaxies.
Philip D. Mannheim
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Perioperative Medicine, 2023 Background Risk scoring systems are required to allow accurate prognostication, compare outcomes of surgery, and allow patients to make informed decisions about their health.
Akshant Anil Pathak +5 more
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Journal of Nepal Health Research Council, 2021 Background: Hollow viscus perforation peritonitis is one of the commonest surgical emergencies with high mortality and morbidity. The objective of this study was to evaluate the effectiveness of Mannheim’s peritonitis index in prediction of mortality in ...
Vikal Chandra Shakya +3 more
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