Results 1 to 10 of about 146 (125)

Inextensible Flows of Null Cartan Curves in Minkowski Space R2,1

open access: yesUniverse, 2023
This research focused on studying the flows of a null Cartan curve specified by the velocity and acceleration fields. We have proven that the tangential and normal velocities are influenced by the binormal velocity along the motion.
Samah Gaber, Abeer Al Elaiw
doaj   +2 more sources

Singularities of Focal Surfaces of Null Cartan Curves in Minkowski 3-Space [PDF]

open access: yesAbstract and Applied Analysis, 2012
Singularities of the focal surfaces and the binormal indicatrix associated with a null Cartan curve will be investigated in Minkowski 3-space. The relationships will be revealed between singularities of the above two subjects and differential geometric ...
Zhigang Wang   +4 more
doaj   +3 more sources

Singularity Analysis of Lightlike Hypersurfaces Generated by Null Cartan Curves in Minkowski Spacetime

open access: yesAxioms
This study investigates the singularity structures of lightlike hypersurfaces generated by null Cartan curves in Minkowski spacetime. We construct a hierarchical geometric framework consisting of a lightlike hypersurface LHβ, a critical lightlike surface
Xiaoming Fan, Yongsheng Zhu, Haijing Pan
doaj   +3 more sources

Solutions of Da Rios Vortex Filament Equation of Cartan Null Curves with Combescure Transformation

open access: yesMathematics
In this study, Cartan null curves connected via the Combescure transformation are investigated within the framework of Minkowski 3-space, and the necessary conditions for establishing such connections are derived.
Yanlin Li   +3 more
doaj   +2 more sources

On Evolutes of Null Cartan Curves in Minkowski 4-Space

open access: yesJournal of New Theory, 2021
This paper aims to discuss the theory of evolutes of null Cartan curves in Minkowski 4-space. In the second part, we present the basic concepts of curves in Minkowski 4-space with its Frenet equations.
Arfah Arfah
doaj  

On Null Cartan Normal Helices in Minkowski 3-Space

open access: yesAxioms
In this paper, we introduce null Cartan normal helices in Minkowski space E13. We obtain explicit expressions for their torsions by considering the cases when the C-constant vector field is orthogonal to their axis or not orthogonal to it.
Emilija Nešović
doaj   +1 more source

On pseudo null and null cartan darboux helices in minkowski 3-space

open access: yesKuwait Journal of Science, 2016
In this paper, we introduce the notion of pseudo null and null Cartan Darboux helicesin Minkowski 3-space. We characterize the Darboux vectors of the pseudo null andthe null Cartan curves in terms of the Darboux helices and the rectifying curves.
Ufuk Öztürk, Emilija Nešović
doaj  

Towards Multifractality through an Ernst-Type Potential in Complex Systems Dynamics. [PDF]

open access: yesEntropy (Basel), 2023
Ghizdovat V   +5 more
europepmc   +1 more source

The Geometry of Marked Contact Engel Structures. [PDF]

open access: yesJ Geom Anal, 2021
Manno G, Nurowski P, Sagerschnig K.
europepmc   +1 more source

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