Abstract
In this paper we identify all simply connected 3-dimensional real Lie groups which admit Randers or Matsumoto metrics of Berwald type with a certain underlying left invariant Riemannian metric. Then we give their flag curvatures formulas explicitly.
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Acknowledgments
This research was supported by the Center of Excellence for Mathematics at the University of Isfahan.
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Communicated by D. V. Alekseevsky.
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Salimi Moghaddam, H.R. On the left invariant Randers and Matsumoto metrics of Berwald type on 3-dimensional Lie groups. Monatsh Math 177, 649–658 (2015). https://doi.org/10.1007/s00605-015-0782-z
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DOI: https://doi.org/10.1007/s00605-015-0782-z