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Generalized Pseudo Null Bertrand Curves in Semi-Euclidean 4-Space With Index 2
Rendiconti Del Circolo Matematico Di Palermo, 2016 In this paper, we study generalized pseudo null Bertrand curves in semi-Euclidean 4-space E-2(4) with index 2. We get the necessary and sufficient conditions for pseudo null curves to be generalized Bertrand curves and we give some ...
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Congruence of degenerate surface along pseudo null curve and Landau–Lifshitz equation
Journal of Geometry and Physics, 2022The authors study the geometry of pseudo null curves in terms of anholonomic coordinates in Minkowski 3-space (Euclidean space equipped with Lorentzian product). They discuss Frenet formulas for a pseudo-null curve given by a pseudo arc length parameter in detail. Then binormal congruence of degenerate surfaces containing the\(s\)-lines and \(n\)-lines
Ayşe Yavuz, Melek Erdoğdu
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Hokkaido Mathematical Journal, 2011 Singularities of null Darboux developable, Gaussian surfaces and pseudo-spherical Darboux images associated with a null Cartan curve will be investigated in Minkowski 3-space. The relationships will be revealed between singularities of the above three subjects and differential geometric invariants of null Cartan curves, these invariants are deeply ...
Donghe Pei, Zhigang Wang
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Involute of Pseudo-Null Curve in Minkowski Space
2021An involute of a curve in space is a curve to which all tangent lines of the given curve are normal. It is also known for the property that it can be realized as the locus of the free end of a taut string that is unwound from the initial curve. A curve possesses a one-parameter family of involutes and they are all parallel.
Milin-Šipuš, Željka +2 more
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Ruled surfaces with null curves and Frenet frame in pseudo-sphere and pseudo-hyperbolic space
Tsukuba Journal of Mathematics, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A New Glimpse Into the Directional Curves Associated With a Pseudo-Null Curve via Bishop Frame
Waves in Random and Complex MediaYasin Ünlütürk, Dogan Ünal
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A new version of the motion equations of pseudo null curves with compatible Hasimoto map
Optical and Quantum Electronics, 2022In this manuscript, we study links between nonlinear equations of motion and equations attained by taking geometric differential description of Hasimoto map of pseudo null curves and some physical consequences. First, we find the equations of Hasimoto transformation occurred by adapting Hasimoto map for pseudo null curves.
Körpınar, Talat +2 more
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Determination of Frenet apparatus of partially null and pseudo null curves in Minkowski space-time
2008Summary: A method to calculate Frenet apparatus of partially null and pseudo null curves in Minkowski space-time is presented.
TURĞUT, MELİH, YILMAZ, SÜHA
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Pseudo null curve variations for Bishop frame in 3D semi-Riemannian manifold
International Journal of Geometric Methods in Modern Physics, 2019In the present paper, the relation between invariants of the pseudo null curves and the variational vector fields of semi-Riemannian manifolds is introduced. After that, the Killing equations are written in terms of the Bishop curvatures along the pseudo null curve.
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New Characterizations for Pseudo Null and Partially Null Curves in R 2 4
2016Bu makalede, R24 de eğrilik fonksiyonları kullanılarak sırasıyla pseudo-küresel pseudo null ve partially null eğriler tanımlandı. Ayrıca, sırasıyla R24 de pseudo null ve partially null eğriler için yeni karakterizasyonlar elde edildi.
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