Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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ON WEAKLY-BERWALD SPACES OF SPECIAL (α, β)-METRICS

  • Lee, Il-Yong (DEPARTMENT OF MATHEMATICS, KYUNGSUNG UNIVERSITY) ;
  • Lee, Myung-Han (Department of Mathematics, Kyungsugn University)
  • Published : 2006.05.01
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Abstract

We have two concepts of Douglas spaces and Lands-berg spaces as generalizations of Berwald spaces. S. Bacso gave the definition of a weakly-Berwald space [2] as another generalization of Berwald spaces. In the present paper, we find the conditions that the Finsler space with an (${\alpha},{\beta}$)-metric be a weakly-Berwald space and the Finsler spaces with some special (${\alpha},{\beta}$)-metrics be weakly-Berwald spaces, respectively.

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References

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  2. ON THE SECOND APPROXIMATE MATSUMOTO METRIC vol.51, pp.1, 2014, https://doi.org/10.4134/BKMS.2014.51.1.115
  3. RETRACTED: On two subclasses of -metrics being projectively related vol.62, pp.2, 2012, https://doi.org/10.1016/j.geomphys.2011.10.004