Results 81 to 90 of about 2,400,148 (182)

The Koch snowflake curve is tube-null [PDF]

Proceedings of the American Mathematical Society, 2011
Using geometric, combinatorial, algebraic and probabilistic arguments, the author proves that there exists a decomposition of the Koch snowflake curve \(K\) into three sets, each of which can be projected to a line in such a way that the Hausdorff dimension of the image is less than 1.
openaire   +2 more sources

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

Mathematics
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, Osman Keçilioğlu, Kazım İlarslan, Qingyou Sun   +3 more
doaj   +1 more source

Investigation of the structures of null and non-null curves in lorentz space

, 2022
Bu çalışmada L3 ve L4 Lorentz uzaylarında null ve null olmayan eğrilerin Frenet çatılarının alt uzaylarındaki durumları araştırılmıştır. Bu durumlara ilişkin örneklere ve çizelgelere yer verilmiştir.In this study, the cases of null and non-null curves in
Torbalı, Ümmü Gülsüm Bayrak
core  

On Null Cartan Normal Helices in Minkowski 3-Space

Axioms
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

A type N radiation field solution with $$\Lambda <0$$ Λ<0 in a curved space-time and closed time-like curves

European Physical Journal C: Particles and Fields, 2018
An anti-de Sitter background four-dimensional type N solution of the Einstein’s field equations, is presented. The matter-energy content pure radiation field satisfies the null energy condition (NEC), and the metric is free-from curvature divergence.
Faizuddin Ahmed
doaj   +1 more source

Geometry of the Solutions of Localized Induction Equation in the Pseudo-Galilean Space

Advances in Mathematical Physics, 2015
We study the surfaces corresponding to solutions of the localized induction equation in the pseudo-Galilean space G31. We classify such surfaces with null curvature and characterize some special curves on these surfaces in G31.
Muhittin Evren Aydin, Adela Mihai, Alper Osman Ogrenmis, Mahmut Ergut   +3 more
doaj   +1 more source

On generalized partially null Mannheim curves in Minkowski space-time

, 2016
© 2016, Institute of Mathematics. All rights reserved. In this paper we define generalized partially null and pseudo null Mannheim curves in Minkowski space-time E 41.
Grbović, Milica, Emilija Nešović, Milica Grbović, Nesovic, Emilija   +3 more
core   +1 more source

On Null Bertrand Partner D-Curves

In this work, by using the Darboux frame of null curves, we define null Bertrand partner D-curves os spacelikesurfaces and give the relations between curvatures of these curves in Minkowski 3-space E3_1 .Finally, byconsidering surface construction ...
Kahraman, Tanju
core  

Null Quaternionic Bertrand Partner Curves

In this paper, we study null quaternionic Bertrand curves in the semi-Euclidean spaces and , respectively. We obtain some characterizations for null quaternionic Bertrand partner curves. We show that the constant distance between the quaternionic partner
Kahraman, T
core  

Bi-null curves with constant curvatures in R-2(5)

, 2019
In the present paper, we classify bi-null curves with constant curvatures in semi-Euclidean 5-space R-2(5) with index ...
Ucum, Ali, Sakaki, Makoto, Ilarslan, Kazim   +2 more
core   +1 more source