A characterization of curves in Galilean 4-space $G_4$

Authors

  • G. Öztürk Kocaeli University‎, ‎Art and Science Faculty‎, ‎Department of Mathematics‎, ‎Kocaeli‎, ‎Turkey.
  • İ. Kişi Kocaeli University‎, ‎Art and Science Faculty‎, ‎Department of Mathematics‎, ‎Kocaeli‎, ‎Turkey.
  • S. Büyükkütük Kocaeli University‎, ‎Art and Science Faculty‎, ‎Department of Mathematics‎, ‎Kocaeli‎, ‎Turkey.
Abstract:

‎In the present study‎, ‎we consider a regular curve in Galilean‎ ‎$4$-space $mathbb{G}_{4}$ whose position vector is written as a‎ ‎linear combination of its Frenet vectors‎. ‎We characterize such‎ ‎curves in terms of their curvature functions‎. ‎Further‎, ‎we obtain‎ ‎some results of rectifying‎, ‎constant ratio‎, ‎$T$-constant and‎ ‎$N$-constant curves in $mathbb{G}_{4}$‎.

Download for Free

Sign up for free to access the full text

Already have an account?login

similar resources

The equiform differential geometry of curves in the pseudo - Galilean space ∗

In this paper the equiform differential geometry of curves in the pseudo-Galilean space G3 is introduced. Basic invariants and a moving trihedron are described. Frenet formulas are derived and the fundamental theorem of curves in equiform geometry of G3 is proved. The curves of constant curvatures are described.

full text

Lagrangian Curves in a 4-dimensional affine symplectic space

Lagrangian curves in R entertain intriguing relationships with second order deformation of plane curves under the special affine group and null curves in a 3-dimensional Lorentzian space form. We provide a natural affine symplectic frame for Lagrangian curves. It allows us to classify Lagrangrian curves with constant symplectic curvatures, to construct a class of Lagrangian tori in R and determ...

full text

tragic contradictions: a comparative study of characterization in eugene o’neill’s long day’s journey into night and mahmud dowlatabadi’s tangna

در طی چند دهه ی اخیر، مفهوم «تراژدی» و «قهرمان تراژدی» توجهی روزافرون را تقریباً در تمام حوزه های نقد ادبی به خود معطوف کرده است. برخی نظیر ارسطو، نیچه، و آرتور میلر به بازخوانی آن پرداخته و برخی دیگر نظیر سارتر، استریندبرگ، یوجین اُنیل، برتولت برشت، و آنتونین آرتود به افزودن ابعاد نوینی به این مبحث همت گماشته اند. آنچه قهرمان تراژدی مدرن را از مفهوم کلاسیک آن متمایز می کند نه لغزش تراژیک متداول ...

On the Quaternionic Curves in the Semi-Euclidean Space E_4_2

In this study, we investigate the semi-real quaternionic curves in the semi-Euclidean space E_4_2. Firstly, we introduce algebraic properties of semi-real quaternions. Then, we give some characterizations of semi-real quaternionic involute-evolute curves in the semi-Euclidean space E42 . Finally, we give an example illustrated with Mathematica Programme.

full text

Classification of Factorable Surfaces in the Pseudo-galilean Space

In this paper, we introduce the factorable surfaces in the pseudo-Galilean space G3 and completely classify such surfaces with null Gaussian and mean curvature. Also, in a special case, we investigate the factorable surfaces which fulfill the condition that the ratio of the Gaussian curvature and the mean curvature is constant in G3.

full text

My Resources

Save resource for easier access later

Save to my library Already added to my library

{@ msg_add @}


Journal title

volume 43  issue 3

pages  771- 780

publication date 2017-06-01

By following a journal you will be notified via email when a new issue of this journal is published.

Hosted on Doprax cloud platform doprax.com

copyright © 2015-2023