Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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DUAL SURFACES DEFINED BY z = f(u) + g(ν) IN SIMPLY ISOTROPIC 3-SPACE ${\mathbb{I}}{\frac{1}{3}}$

  • Cakmak, Ali (Bitlis Eren University Faculty of Arts and Sciences Department of Mathematics) ;
  • Karacan, Murat Kemal (Usak University Faculty of Arts and Sciences Department of Mathematics) ;
  • Kiziltug, Sezai (Erzincan University Faculty of Arts and Sciences Department of Mathematics)
  • Received : 2017.09.22
  • Accepted : 2017.12.21
  • Published : 2019.01.31
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Abstract

In this study, we define the dual surfaces by z = f(u) + g(v) and also classify these surfaces in ${\mathbb{I}}{\frac{1}{3}}$ satisfying some algebraic equations in terms of the coordinate functions and the Laplace operators according to fundamental forms of the surface.

Keywords

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