A study of the inextensible flows of tube-like surfaces associated with focal curves in Galilean 3-space G₃
DOI:
https://doi.org/10.24193/subbmath.2017.3.07Keywords:
Tube-like surface, Gaussian curvature, mean curvature, Galilean 3- space.Abstract
In this paper, we study inextensible flows of focal curves associated with tube-like surfaces in Galilean 3-space G₃. We give some characterizations for curvature and torsion of focal curves associated with tube-like surfaces in Galilean 3-space G₃. Furthermore, we show that if flow of this tube-like surface is inextensible then this surface is not developable as well as not minimal. Finally an example of tube-like surface is used to demonstrate our theoretical results and graphed.
Mathematics Subject Classification (2010): 31B30, 58E20.
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