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    STUDIA MATHEMATICA - Issue no. 3 / 2017  
         
  Article:   A STUDY OF THE INEXTENSIBLE FLOWS OF TUBE-LIKE SURFACES ASSOCIATED WITH FOCAL CURVES IN GALILEAN 3-SPACE G3.

Authors:  ADEL H. SOROUR.
 
       
         
  Abstract:  
DOI: 10.24193/subbmath.2017.3.07

Published Online: 2017-09-30
Published Print: 2017-09-30
pp. 341-352

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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 ow 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.

Keywords: Tube-like surface, Gaussian curvature, mean curvature, Galilean 3-space. Mathematics Subject Classification (2010): 31B30, 58E20.
 
         
     
         
         
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