East Asian mathematical journal

The Youngnam Mathematical Society (영남수학회)
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ON A HYPERSURFACE OF THE FIRST APPROXIMATE MATSUMOTO SPACE

  • Lee, Il-Yong (Division of Mathematical Sciences Kyungsung University) ;
  • Jun, Dong-Gum (Department of Mathematics Soonchunhyang University)
  • Published : 2001.12.30
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Abstract

We consider the special hypersurface of the first approximate Matsumoto metric with $b_i(x)={\partial}_ib$ being the gradient of a scalar function b(x). In this paper, we consider the hypersurface of the first approximate Matsumoto space with the same equation b(x)=constant. We are devoted to finding the condition for this hypersurface to be a hyperplane of the first or second kind. We show that this hypersurface is not a hyper-plane of third kind.

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