Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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ON THE CURVATURE FUNCTIONS OF TUBE-LIKE SURFACES IN THE GALILEAN SPACE

  • Abdel-Aziz, Hossam Eldeen S. (Department of Mathematics Faculty of Science Sohag University) ;
  • Sorour, Adel H. (Department of Mathematics Faculty of Science Sohag University)
  • Received : 2020.08.01
  • Accepted : 2020.11.05
  • Published : 2021.07.31
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Abstract

In the Galilean space G3, we study a special kind of tube surfaces, called tube-like surfaces. They are defined by sweeping a space curve along another central space curve. In this setting, we investigate some equations in terms of Gaussian and mean curvatures, showing some relevant theorems. Our theoretical results are illustrated with some plotted examples.

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Acknowledgement

The authors would like to express their deep gratitude to the anonymous referee(s) and the editor of this esteemed journal for their valuable suggestions and constructive comments, which will resulted in the subsequent improvement of this research article.

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