Acta mathematica scientia, Series B >
MOTIONS OF CURVES IN THE GALILEAN SPACE G3
Received date: 2014-03-17
Revised date: 2015-04-24
Online published: 2015-09-01
In this article, we study the flows of curves in the Galilean 3-space and its equiform geometry without any constraints. We find that the Frenet equations and the intrinsic quantities of the inelastic flows of curves are independent of time. We show that the motion of curves in the Galilean 3-space and its equiform geometry are described by the inviscid and viscous Burgers' equations.
Ufuk OZTURK , Suleyman CENGIZ , Esra Betul KOC OZTURK . MOTIONS OF CURVES IN THE GALILEAN SPACE G3[J]. Acta mathematica scientia, Series B, 2015 , 35(5) : 1046 -1054 . DOI: 10.1016/S0252-9602(15)30038-2
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