충청수학회지 (Journal of the Chungcheong Mathematical Society)

  • 제22권4호
  • /
  • Pages.699-716
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  • 2009
  • /
  • 1226-3524(pISSN)
  • /
  • 2383-6245(eISSN)
충청수학회 (The Chungcheong Mathematical Society)
권호 표지

ON DOUGLAS SPACE WITH AN APPROXIMATE INFINITE SERIES (α,β)-METRIC

  • Lee, Il-Yong (Department of Mathematics, Kyungsung University)
  • 투고 : 2009.08.06
  • 심사 : 2009.11.06
  • 발행 : 2009.12.30
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초록

We deal with a Finsler space $F^n$ with an approximate infinite series $({\alpha},\;{\beta})$-metric $L({\alpha},\;{\beta})$ = ${\beta}{\sum}_{k=0}^{r}(\frac{\alpha}{\beta})^k$ where ${\alpha}<{\beta}$. We introduced a Finsler space $F^n$ with an infinite series $({\alpha},{\beta})$-metric $L({\alpha},\;{\beta})=\frac{\beta^2}{\beta-\alpha}$ and investigated various geometrical properties at [6]. The purpose of the present paper is devoted to finding the condition for a Finsler space $F^n$ with an approximate infinite series $({\alpha},\;{\beta})$-metric above to be a Douglas space.

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참고문헌

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