DIFFERENTIAL EQUATIONS CHARACTERIZING TIMELIKE AND SPACELIKE CURVES OF CONSTANT BREADTH IN MINKOWSKI 3-SPACE E13

Title & Authors
DIFFERENTIAL EQUATIONS CHARACTERIZING TIMELIKE AND SPACELIKE CURVES OF CONSTANT BREADTH IN MINKOWSKI 3-SPACE E13
Onder, Mehmet; Kocayigit, Huseyin; Canda, Elif;

Abstract
In this paper, we give the differential equations characterizing the timelike and spacelike curves of constant breadth in Minkowski 3-space $\small{E^3_1}$. Furthermore, we give a criterion for a timelike or spacelike curve to be the curve of constant breadth in $\small{E^3_1}$. As an example, the obtained results are applied to the case $\small{\rho}$ = const. and $\small{k_2}$ = const., and are discussed.
Keywords
Minkowski 3-space;timelike curve;spacelike curve;constant breadth curve;
Language
English
Cited by
1.
Timelike Curves of Constant Breadth According to Bishop Frame in Minkowski 3-Space, Iranian Journal of Science and Technology, Transactions A: Science, 2017, 41, 1, 45
2.
On Closed Space Curves in Minkowski Space–Time $${E_v^n}$$, Differential Equations and Dynamical Systems, 2012, 20, 2, 179
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