DOUGLAS SPACES OF THE SECOND KIND OF FINSLER SPACE WITH A MATSUMOTO METRIC

  • Lee, Il-Yong (Department of Mathematics Kyungsung University)
  • Received : 2008.03.27
  • Accepted : 2008.05.21
  • Published : 2008.06.30

Abstract

In the present paper, first we define a Douglas space of the second kind of a Finsler space with an (${\alpha},{\beta}$)-metric. Next we find the conditions that the Finsler space with an (${\alpha},{\beta}$)-metric be a Douglas space of the second kind and the Finsler space with a Matsumoto metric be a Douglas space of the second kind.

Keywords