Results 111 to 120 of about 146 (125)
Some of the next articles are maybe not open access.
Topological structures of event horizons along framed null Cartan curves in Minkowski space
International Journal of Geometric Methods in Modern Physics, 2022In this work, we model two event horizons associated with a null Cartan curve as two lightlike hypersurfaces, respectively. We define a lightlike surface and a spacelike surface whose images coincide with the sets of critical values of two event horizons, and meanwhile we present two curves whose images coincide with the sets of critical values of ...
Xintong Yu, Siyao Liu, Zhigang Wang
openaire +1 more source
Null cartan geodesic isophote curves in Minkowski 3-space
International Journal of Geometric Methods in Modern PhysicsIn this paper, we investigate null Cartan geodesic isophote curves in the Minkowski [Formula: see text]-space, and give examples where such curves actually exist. By categorizing the types of light vectors, we characterize different types of null Cartan geodesic isophote curves.
Zewen Li, Donghe Pei
openaire +1 more source
Singularities of worldsheets associated with null Cartan curves in Lorentz–Minkowski space–time
International Journal of Modern Physics A, 2018In this paper, as applications of singularity theory, we study the singularities of several worldsheets generated by null Cartan curves in Lorentz–Minkowski space–time. Using the approach of the unfolding theory in singularity theory, we establish the relationships between these worldsheets and invariants such that the cuspidal edge type of ...
Siyao Liu, Zhigang Wang
openaire +1 more source
Generalized null Cartan rectifying curves in Minkowski 3-space
Modern Physics Letters AIn this paper, we define generalized null Cartan rectifying curves which may have singular points. We propose a construction method for generalized null Cartan rectifying curves, which is more general than the one for regular null rectifying curves, as it also applies to non-regular cases. Moreover, we explore the relationships between generalized null
Ning Zhou, Boyuan Xu, Donghe Pei
openaire +1 more source
Soliton surfaces by Landau–Lifshitz equations with null cartan curve
Modern Physics Letters AThis study progresses to a detailed analysis of three-dimensional vector fields, focusing on the differential geometric properties of vector lines, including curvature and torsion, using anholonomic coordinates. Further, it investigates the curl of the binormal vector field in specific configurations, leading to the identification of surfaces with ...
Melek Erdoğdu, Ayşe Yavuz
openaire +1 more source
Kinematics of Persistent Rigid Motions Traced by Adapted Frames Along Null Cartan Curves
Mathematical Methods in the Applied SciencesABSTRACT One‐parameter rigid motions along null Cartan curves in the three‐dimensional Lorentz–Minkowski space are considered. More specifically, we aim to investigate four different variants of frame motions associated with a null Cartan curve: the Cartan motion ,
Orhan Oğulcan Tuncer
exaly +3 more sources
Journal of Geometry, 2015
In this paper, we study generalized Cartan null Bertrand curves in semi-Euclidean 4-space $${\mathbb{E}_{2}^{4}}$$ with index 2.
Ali Uçum +2 more
openaire +1 more source
In this paper, we study generalized Cartan null Bertrand curves in semi-Euclidean 4-space $${\mathbb{E}_{2}^{4}}$$ with index 2.
Ali Uçum +2 more
openaire +1 more source
Mathematical Methods in the Applied Sciences
We introduce generalized Darboux frames along a null Cartan curve lying on a timelike surface in Minkowski space and define null Cartan normal isophotic and normal silhouette curves in terms of the vector field that lies in the normal plane of the curve and belongs to its generalized Darboux frame of the first kind.
Jelena Djordjević +3 more
openaire +3 more sources
We introduce generalized Darboux frames along a null Cartan curve lying on a timelike surface in Minkowski space and define null Cartan normal isophotic and normal silhouette curves in terms of the vector field that lies in the normal plane of the curve and belongs to its generalized Darboux frame of the first kind.
Jelena Djordjević +3 more
openaire +3 more sources
On generalized null Mannheim curves in
Mathematical Methods in the Applied Sciences, 2021Nihal Kılıç Aslan, Kazim Ilarslan
exaly
On (1,3){\left(1,3 \right) }-Cartan null Bertrand curves in semi-Euclidean 4-space with index 2
Journal of Geometry, 2015Makoto Sakaki, Ali Uçum, Kazim Ilarslan
exaly