East Asian mathematical journal

  • 제17권2호
  • /
  • Pages.325-337
  • /
  • 2001
  • /
  • 1226-6973(pISSN)
  • /
  • 2287-2833(eISSN)
영남수학회 (The Youngnam Mathematical Society)
권호 표지

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)
  • 발행 : 2001.12.30
PDF 다운로드
⟨ 이전 논문 BASIS " href="/article/JAKO200110736855254.page?lang=ko"> 다음 논문 ⟩

초록

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.

키워드