Shaoqiang Deng and Zixin Hou 2004 J. Phys. A: Math. Gen. 37 4353 doi:10.1088/0305-4470/37/15/004
Invariant Randers metrics on homogeneous Riemannian manifolds*
Shaoqiang Deng and Zixin Hou
Show affiliationsThis paper studies Randers metrics on homogeneous Riemannian manifolds. It turns out that we can give a complete description of the invariant Randers metrics on a homogeneous Riemannian manifold as well as the geodesics, the flag curvatures. This result provides a convenient method to construct globally defined Berwald space which is neither Riemannian nor locally Minkowskian and gives another explanation of the example of Bao et al (1999 An Introduction to Riemannian–Finsler Geometry (Berlin: Springer)).
- Footnote
- PACS
- MSC
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58B20 Riemannian, Finsler and other geometric structures (See also 53C20, 53C60)
- Subjects
- Dates
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Issue 15 (16 April 2004)
Received 23 September 2003
Published 29 March 2004
A Corrigendum for this article has been published in 2006 J. Phys. A: Math. Gen. 39 5249
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Invariant Randers metrics on homogeneous Riemannian manifolds
Shaoqiang Deng and Zixin Hou 2004 J. Phys. A: Math. Gen. 37 4353
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