On the Flag Curvature of Invariant Randers Metrics |
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Authors: | Hamid Reza Salimi Moghaddam |
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Institution: | (1) Department of Mathematics, Shahrood University of Technology, Shahrood, Iran |
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Abstract: | In the present paper, the flag curvature of invariant Randers metrics on homogeneous spaces and Lie groups is studied. We
first give an explicit formula for the flag curvature of invariant Randers metrics arising from invariant Riemannian metrics
on homogeneous spaces and, in special case, Lie groups. We then study Randers metrics of constant positive flag curvature
and complete underlying Riemannian metric on Lie groups. Finally we give some properties of those Lie groups which admit a
left invariant non-Riemannian Randers metric of Berwald type arising from a left invariant Riemannian metric and a left invariant
vector field.
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Keywords: | Invariant metric Flag curvature Randers space Homogeneous space Lie group |
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