대한수학회지 (Journal of the Korean Mathematical Society)

  • 제48권4호
  • /
  • Pages.849-866
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  • 2011
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  • 0304-9914(pISSN)
  • /
  • 2234-3008(eISSN)
대한수학회 (Korean Mathematical Society)
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DIFFERENTIAL EQUATIONS CHARACTERIZING TIMELIKE AND SPACELIKE CURVES OF CONSTANT BREADTH IN MINKOWSKI 3-SPACE E13

  • Onder, Mehmet (Department of Mathematics Faculty of Arts and Sciences Celal Bayar University) ;
  • Kocayigit, Huseyin (Department of Mathematics Faculty of Arts and Sciences Celal Bayar University) ;
  • Canda, Elif (Department of Mathematics Faculty of Arts and Sciences Celal Bayar University)
  • 투고 : 2010.05.14
  • 발행 : 2011.07.01
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초록

In this paper, we give the differential equations characterizing the timelike and spacelike curves of constant breadth in Minkowski 3-space $E^3_1$. Furthermore, we give a criterion for a timelike or spacelike curve to be the curve of constant breadth in $E^3_1$. As an example, the obtained results are applied to the case $\rho$ = const. and $k_2$ = const., and are discussed.

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참고문헌

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피인용 문헌

  1. Timelike Curves of Constant Breadth According to Bishop Frame in Minkowski 3-Space vol.41, pp.1, 2017, https://doi.org/10.1007/s40995-017-0191-3
  2. On Closed Space Curves in Minkowski Space–Time $${E_v^n}$$ vol.20, pp.2, 2012, https://doi.org/10.1007/s12591-012-0113-y