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arXiv · 1305.5997

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

Hamid Reza Salimi Moghaddam
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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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Hamid Reza Salimi Moghaddam. 2013-05-26. On the left invariant Randers and Matsumoto metrics of Berwald type on 3-dimensional Lie groups. https://doi.org/10.1007/s00605-015-0782-z

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