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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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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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No Null-Helix Mannheim Curves in the Minkowski Space E13 [PDF]
International Journal of Mathematics and Mathematical Sciences, 2011 We study a null Mannheim curve with time-like or space-like Mannheim partner curve in the Minkowski 3-space E13. We get the characterization of a null Mannheim curve.
Jae Won Lee
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Mannheim Curves in Nonflat 3-Dimensional Space Forms [PDF]
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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Prognostic Value of the Mannheim Peritonitis Index in Predicting Mortality Following Emergency Surgery for Hollow Viscus Perforation [PDF]
Journal of Emergencies, Trauma and ShockIntroduction: Perforation peritonitis is a life-threatening emergency associated with high morbidity and mortality. Early risk stratification is vital, particularly in resource-limited settings.
Hong Quan Dang +5 more
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MANNHEIM CURVES IN 3-DIMENSIONAL SPACE FORMS [PDF]
Bulletin of the Korean Mathematical Society, 2013 In Euclidean 3-space, Mannheim curves are characterised by the equation \[ \kappa=a(\kappa^2+\tau^2) \] for a constant \(a\neq 0\), where \(\kappa\) and \(\tau\) are the curvature and the torsion of the curve. Similarly, Mannheim partner curves are characterised by \[ \kappa'=\frac{\kappa}{a}(1+a^2\tau^2) \] where \(\kappa'\) represents the derivative ...
Young Ho Kim
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On Generalized Spacelike Mannheim Curves in Minkowski Space–Time
Proceedings of the National Academy of Sciences India Section A - Physical Sciences, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
EMILIJA Nešović +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.
Yasin Altun, Suleyman Senyurt
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Automated AI detection of thoracic aortic dissection on CT imaging [PDF]
European Radiology ExperimentalBackground Aortic dissection (AD) is a life-threatening condition. We developed an artificial intelligence (AI) algorithm capable of robust, accurate, and automated AD detection and sub-classification.
Tobias Norajitra +11 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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