On Special Finsler Spaces with Common Geodesics
Commun. Korean Math. Soc. 2000 Vol. 15, No. 2, 331-338
Byung-Doo Kim, Ha-Yong Park
Kyungil University, Kyungil University
Abstract : In the present paper, we investigate a problem in a symmetric Finsler space, which is a special space. First we prove that if a symmetric space remains to be a symmetric one under the $\Cal Z$-projective change, then the space is of zero curvature. Further we will study $\Cal W$-recurrent space and $\Cal D$-recurrent space under the projective change.
Keywords : projective change, symmetric space, Douglas tensor
MSC numbers : 53B40
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