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On the left invariant Randers and Matsumoto metrics of Berwald type on 3-dimensional Lie groups

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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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Authors and Affiliations

  1. Department of Mathematics, Faculty of Sciences, University of Isfahan, Isfahan, 81746-73441, Iran

    H. R. Salimi Moghaddam

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  1. H. R. Salimi Moghaddam
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Correspondence to H. R. Salimi Moghaddam.

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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

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