Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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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)
  • Received : 2010.05.14
  • Published : 2011.07.01
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Abstract

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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References

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