Journal of the
Korean Mathematical Society
JKMS
Article
ALL ARTICLES
View
J. Korean Math. Soc. 2011; 48(4): 849-866
Printed July 1, 2011
https://doi.org/10.4134/JKMS.2011.48.4.849
Copyright © The Korean Mathematical Society.
Differential equations characterizing timelike and spacelike curves of constant breadth in Minkowski 3-space $E_1^3$
Mehmet \"{O}nder, H\"{u}seyin Kocayi\u{g}it, Elif Candan
Celal Bayar University, Celal Bayar University, Celal Bayar University
In this paper, we give the differential equations characterizing the timelike and spacelike curves of constant breadth in Minkowski 3-space $E_1^3 $. Furthermore, we give a criterion for a timelike or spacelike curve to be the curve of constant breadth in $E_1^3 $. As an example, the obtained results are applied to the case $\rho = {\rm const.}$ and $k_2 = {\rm const.}$, and are discussed.
Keywords: Minkowski 3-space, timelike curve, spacelike curve, constant breadth curve
MSC numbers: 34A05, 53C40, 53C50
Article Tools
Stats or Metrics
Share this article on :
© 2022. The Korean Mathematical Society. Powered by INFOrang Co., Ltd